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232113323311232 = 2711233179451691
BaseRepresentation
bin110100110001101100011000…
…001011110000000010000000
31010102211211001120222100100212
4310301230120023300002000
5220410421041231424412
62141355215541333252
766614430350534426
oct6461543013600200
91112754046870325
10232113323311232
1167a5a786911200
122204914a407228
139c69266b1402c
1441464b816b116
151bc7c00a98222
hexd31b182f0080

232113323311232 has 96 divisors (see below), whose sum is σ = 508288872092400. Its totient is φ = 105502642572800.

The previous prime is 232113323311123. The next prime is 232113323311319.

232113323311232 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 513650507 + ... + 514102197.

Almost surely, 2232113323311232 is an apocalyptic number.

232113323311232 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232113323311232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254144436046200).

232113323311232 is an abundant number, since it is smaller than the sum of its proper divisors (276175548781168).

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

232113323311232 is a wasteful number, since it uses less digits than its factorization.

232113323311232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484906 (or 484883 counting only the distinct ones).

The product of its digits is 23328, while the sum is 32.

The spelling of 232113323311232 in words is "two hundred thirty-two trillion, one hundred thirteen billion, three hundred twenty-three million, three hundred eleven thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 352 484 704 968 1408 1936 3872 7744 15488 33179 66358 132716 265432 364969 451691 530864 729938 903382 1061728 1459876 1806764 2123456 2919752 3613528 4014659 4246912 4968601 5839504 7227056 8029318 9937202 11679008 14454112 16058636 19874404 23358016 28908224 32117272 39748808 46716032 54654611 57816448 64234544 79497616 109309222 128469088 158995232 218618444 256938176 317990464 437236888 513876352 635980928 874473776 1748947552 3497895104 6995790208 14986655689 29973311378 59946622756 119893245512 164853212579 239786491024 329706425158 479572982048 659412850316 959145964096 1318825700632 1813385338369 1918291928192 2637651401264 3626770676738 5275302802528 7253541353476 10550605605056 14507082706952 21101211210112 29014165413904 58028330827808 116056661655616 232113323311232