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20020211112222 = 23229167751305803
BaseRepresentation
bin1001000110101010100011…
…00100100101100100011110
32121212220122221020101102200
410203111101210211210132
510111002343021042342
6110325054044232330
74134261331444206
oct443252144454436
977786587211380
1020020211112222
116419584279872
1222b407423b6a6
13b22b89636839
144d2daa5b9406
1524ab8940394c
hex12355192591e

20020211112222 has 96 divisors (see below), whose sum is σ = 45201843348480. Its totient is φ = 6396154632000.

The previous prime is 20020211112211. The next prime is 20020211112227. The reversal of 20020211112222 is 22221111202002.

It is a happy number.

20020211112222 is a `hidden beast` number, since 200 + 20 + 211 + 1 + 12 + 222 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 20020211112195 and 20020211112204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20020211112227) 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, 65314773 + ... + 65620575.

It is an arithmetic number, because the mean of its divisors is an integer number (470852534880).

Almost surely, 220020211112222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20020211112222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22600921674240).

20020211112222 is an abundant number, since it is smaller than the sum of its proper divisors (25181632236258).

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

20020211112222 is a wasteful number, since it uses less digits than its factorization.

20020211112222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306758 (or 306755 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 20020211112222 its reverse (22221111202002), we get a palindrome (42241322314224).

The spelling of 20020211112222 in words is "twenty trillion, twenty billion, two hundred eleven million, one hundred twelve thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 29 58 87 167 174 261 334 501 522 751 1002 1502 1503 2253 3006 4506 4843 6759 9686 13518 14529 21779 29058 43558 43587 65337 87174 125417 130674 196011 250834 305803 376251 392022 611606 752502 917409 1128753 1834818 2257506 2752227 3637093 5504454 7274186 8868287 10911279 17736574 21822558 26604861 32733837 51069101 53209722 65467674 79814583 102138202 153207303 159629166 229658053 306414606 459316106 459621909 688974159 919243818 1377948318 1481003929 2066922477 2962007858 4133844954 4443011787 6660083537 8886023574 13320167074 13329035361 19980250611 26658070722 38352894851 39960501222 59940751833 76705789702 115058684553 119881503666 230117369106 345176053659 690352107318 1112233950679 2224467901358 3336701852037 6673403704074 10010105556111 20020211112222