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232112112320 = 2651125994631
BaseRepresentation
bin1101100000101011110…
…1011100001011000000
3211012010021220000021202
43120022331130023000
512300331200043240
6254344132040332
722524645254504
oct3301275341300
9735107800252
10232112112320
118a490266500
1238b99a630a8
1318b7115327a
14b33cc4a304
156087709315
hex360af5c2c0

232112112320 has 84 divisors (see below), whose sum is σ = 607531974672. Its totient is φ = 84404390400.

The previous prime is 232112112319. The next prime is 232112112329. The reversal of 232112112320 is 23211211232.

It is a super-3 number, since 3×2321121123203 (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 232112112292 and 232112112301.

It is not an unprimeable number, because it can be changed into a prime (232112112329) by changing a digit.

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, 2958596 + ... + 3036035.

It is an arithmetic number, because the mean of its divisors is an integer number (7232523508).

Almost surely, 2232112112320 is an apocalyptic number.

232112112320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232112112320 is an abundant number, since it is smaller than the sum of its proper divisors (375419862352).

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

232112112320 is a wasteful number, since it uses less digits than its factorization.

232112112320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5994670 (or 5994649 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 232112112320 its reverse (23211211232), we get a palindrome (255323323552).

The spelling of 232112112320 in words is "two hundred thirty-two billion, one hundred twelve million, one hundred twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 121 160 176 220 242 320 352 440 484 605 704 880 968 1210 1760 1936 2420 3520 3872 4840 7744 9680 19360 38720 5994631 11989262 23978524 29973155 47957048 59946310 65940941 95914096 119892620 131881882 191828192 239785240 263763764 329704705 383656384 479570480 527527528 659409410 725350351 959140960 1055055056 1318818820 1450700702 1918281920 2110110112 2637637640 2901401404 3626751755 4220220224 5275275280 5802802808 7253503510 10550550560 11605605616 14507007020 21101101120 23211211232 29014014040 46422422464 58028028080 116056056160 232112112320