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220211210101212 = 2232111039975415167
BaseRepresentation
bin110010000100011111101010…
…111101000010000111011100
31001212200222121212011101122100
4302010133222331002013130
5212330420024241214322
62100203344445045100
764245510033514311
oct6204375275020734
91055628555141570
10220211210101212
1164191060231540
12208464a8856790
1395b4a9c19c365
143c543caac4d08
151a6d2eb5dadac
hexc847eaf421dc

220211210101212 has 144 divisors (see below), whose sum is σ = 613759819825152. Its totient is φ = 66016505312640.

The previous prime is 220211210101153. The next prime is 220211210101219. The reversal of 220211210101212 is 212101012112022.

220211210101212 is a `hidden beast` number, since 2 + 20 + 211 + 210 + 10 + 1 + 212 = 666.

220211210101212 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220211210101219) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37958053 + ... + 43373219.

It is an arithmetic number, because the mean of its divisors is an integer number (4262220971008).

Almost surely, 2220211210101212 is an apocalyptic number.

220211210101212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220211210101212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306879909912576).

220211210101212 is an abundant number, since it is smaller than the sum of its proper divisors (393548609723940).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

220211210101212 is a wasteful number, since it uses less digits than its factorization.

220211210101212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5416288 (or 5416283 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 220211210101212 its reverse (212101012112022), we get a palindrome (432312222213234).

The spelling of 220211210101212 in words is "two hundred twenty trillion, two hundred eleven billion, two hundred ten million, one hundred one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 103 132 198 206 309 396 412 618 927 997 1133 1236 1854 1994 2266 2991 3399 3708 3988 4532 5982 6798 8973 10197 10967 11964 13596 17946 20394 21934 32901 35892 40788 43868 65802 98703 102691 131604 197406 205382 308073 394812 410764 616146 924219 1129601 1232292 1848438 2259202 3388803 3696876 4518404 5415167 6777606 10166409 10830334 13555212 16245501 20332818 21660668 32491002 40665636 48736503 59566837 64982004 97473006 119133674 178700511 194946012 238267348 357401022 536101533 557762201 714802044 1072203066 1115524402 1673286603 2144406132 2231048804 3346573206 5019859809 5398921499 6135384211 6693146412 10039719618 10797842998 12270768422 16196764497 18406152633 20079439236 21595685996 24541536844 32393528994 36812305266 48590293491 55218457899 59388136489 64787057988 73624610532 97180586982 110436915798 118776272978 178164409467 194361173964 220873831596 237552545956 356328818934 534493228401 556088914397 712657637868 1068986456802 1112177828794 1668266743191 2137972913604 2224355657588 3336533486382 5004800229573 6116978058367 6673066972764 10009600459146 12233956116734 18350934175101 20019200918292 24467912233468 36701868350202 55052802525303 73403736700404 110105605050606 220211210101212