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220212012020 = 2257111310999601
BaseRepresentation
bin1100110100010110101…
…0001010001111110100
3210001101221202021120012
43031011222022033310
512101443233341040
6245055231355352
721624026134520
oct3150552121764
9701357667505
10220212012020
1185433a37a70
1236818682b58
13179c58c86c0
14a9305d4d80
155adcb1d865
hex3345a8a3f4

220212012020 has 96 divisors (see below), whose sum is σ = 620905533696. Its totient is φ = 63357696000.

The previous prime is 220212012011. The next prime is 220212012023. The reversal of 220212012020 is 20210212022.

220212012020 is digitally balanced in base 2 and base 3, because in such bases 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 (14).

It is a junction number, because it is equal to n+sod(n) for n = 220212011986 and 220212012004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220212012023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5479781 + ... + 5519820.

It is an arithmetic number, because the mean of its divisors is an integer number (6467765976).

Almost surely, 2220212012020 is an apocalyptic number.

220212012020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220212012020 is an abundant number, since it is smaller than the sum of its proper divisors (400693521676).

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

220212012020 is a wasteful number, since it uses less digits than its factorization.

220212012020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10999641 (or 10999639 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 220212012020 its reverse (20210212022), we get a palindrome (240422224042).

The spelling of 220212012020 in words is "two hundred twenty billion, two hundred twelve million, twelve thousand, twenty".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 26 28 35 44 52 55 65 70 77 91 110 130 140 143 154 182 220 260 286 308 364 385 455 572 715 770 910 1001 1430 1540 1820 2002 2860 4004 5005 10010 20020 10999601 21999202 43998404 54998005 76997207 109996010 120995611 142994813 153994414 219992020 241991222 285989626 307988828 384986035 483982444 571979252 604978055 714974065 769972070 846969277 1000963691 1209956110 1429948130 1539944140 1572942943 1693938554 2001927382 2419912220 2859896260 3145885886 3387877108 4003854764 4234846385 5004818455 6291771772 7864714715 8469692770 10009636910 11010600601 15729429430 16939385540 20019273820 22021201202 31458858860 44042402404 55053003005 110106006010 220212012020