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232133211312 = 24337472780971
BaseRepresentation
bin1101100000110000110…
…1111011010010110000
3211012011202120221122220
43120030031323102300
512300402100230222
6254350204201040
722525322511552
oct3301415732260
9735152527586
10232133211312
118a4a1167492
1238ba4b39180
1318b7562c992
14b34197d4d2
1560894c5b5c
hex360c37b4b0

232133211312 has 80 divisors (see below), whose sum is σ = 628989123072. Its totient is φ = 73684581120.

The previous prime is 232133211307. The next prime is 232133211313. The reversal of 232133211312 is 213112331232.

It is a super-2 number, since 2×2321332113122 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is not an unprimeable number, because it can be changed into a prime (232133211313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1307014 + ... + 1473957.

Almost surely, 2232133211312 is an apocalyptic number.

It is an amenable number.

232133211312 is an abundant number, since it is smaller than the sum of its proper divisors (396855911760).

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

232133211312 is a wasteful number, since it uses less digits than its factorization.

232133211312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2781066 (or 2781060 counting only the distinct ones).

The product of its digits is 1296, while the sum is 24.

Adding to 232133211312 its reverse (213112331232), we get a palindrome (445245542544).

The spelling of 232133211312 in words is "two hundred thirty-two billion, one hundred thirty-three million, two hundred eleven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 37 47 48 74 94 111 141 148 188 222 282 296 376 444 564 592 752 888 1128 1739 1776 2256 3478 5217 6956 10434 13912 20868 27824 41736 83472 2780971 5561942 8342913 11123884 16685826 22247768 33371652 44495536 66743304 102895927 130705637 133486608 205791854 261411274 308687781 392116911 411583708 522822548 617375562 784233822 823167416 1045645096 1234751124 1568467644 1646334832 2091290192 2469502248 3136935288 4836108569 4939004496 6273870576 9672217138 14508325707 19344434276 29016651414 38688868552 58033302828 77377737104 116066605656 232133211312