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22131112212 = 22321197576151
BaseRepresentation
bin10100100111000111…
…011111100100010100
32010010100120222121200
4110213013133210110
5330311031042322
614100014312500
71412300231016
oct244707374424
963110528550
1022131112212
119427488190
1243577b8730
132119069a91
1410dd3501b6
15897dcb8ac
hex5271df914

22131112212 has 72 divisors (see below), whose sum is σ = 61657482432. Its totient is φ = 6637248000.

The previous prime is 22131112183. The next prime is 22131112217. The reversal of 22131112212 is 21221113122.

22131112212 is a `hidden beast` number, since 221 + 311 + 122 + 12 = 666.

It is a super-2 number, since 2×221311122122 (a number of 21 digits) contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22131112217) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 249664 + ... + 326487.

Almost surely, 222131112212 is an apocalyptic number.

22131112212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

22131112212 is an abundant number, since it is smaller than the sum of its proper divisors (39526370220).

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

22131112212 is a wasteful number, since it uses less digits than its factorization.

22131112212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 576269 (or 576264 counting only the distinct ones).

The product of its digits is 96, while the sum is 18.

Adding to 22131112212 its reverse (21221113122), we get a palindrome (43352225334).

The spelling of 22131112212 in words is "twenty-two billion, one hundred thirty-one million, one hundred twelve thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 97 99 132 194 198 291 388 396 582 873 1067 1164 1746 2134 3201 3492 4268 6402 9603 12804 19206 38412 576151 1152302 1728453 2304604 3456906 5185359 6337661 6913812 10370718 12675322 19012983 20741436 25350644 38025966 55886647 57038949 76051932 111773294 114077898 167659941 223546588 228155796 335319882 502979823 614753117 670639764 1005959646 1229506234 1844259351 2011919292 2459012468 3688518702 5532778053 7377037404 11065556106 22131112212