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232112012112 = 243211149144577
BaseRepresentation
bin1101100000101011110…
…1000011101101010000
3211012010021200220211100
43120022331003231100
512300331133341422
6254344125544400
722524644356401
oct3301275035520
9735107626740
10232112012112
118a4901a8192
1238b99a15100
1318b71119786
14b33cc219a8
1560876d97ac
hex360af43b50

232112012112 has 60 divisors (see below), whose sum is σ = 649654014100. Its totient is φ = 77363195904.

The previous prime is 232112012101. The next prime is 232112012117. The reversal of 232112012112 is 211210211232.

It can be written as a sum of positive squares in 2 ways, for example, as 58653089856 + 173458922256 = 242184^2 + 416484^2 .

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 (232112012117) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1533168 + ... + 1677744.

Almost surely, 2232112012112 is an apocalyptic number.

It is an amenable number.

232112012112 is an abundant number, since it is smaller than the sum of its proper divisors (417542001988).

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

232112012112 is a wasteful number, since it uses less digits than its factorization.

232112012112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155740 (or 155731 counting only the distinct ones).

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

Adding to 232112012112 its reverse (211210211232), we get a palindrome (443322223344).

The spelling of 232112012112 in words is "two hundred thirty-two billion, one hundred twelve million, twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 11149 22298 33447 44596 66894 89192 100341 133788 144577 178384 200682 267576 289154 401364 433731 535152 578308 802728 867462 1156616 1301193 1605456 1734924 2313232 2602386 3469848 5204772 6939696 10409544 20819088 1611888973 3223777946 4835666919 6447555892 9671333838 12895111784 14507000757 19342667676 25790223568 29014001514 38685335352 58028003028 77370670704 116056006056 232112012112