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232013011120 = 24511934928201
BaseRepresentation
bin1101100000010100001…
…1011001100010110000
3211011212101102010222221
43120011003121202300
512300130312323440
6254330232010424
722522333024642
oct3300503314260
9734771363887
10232013011120
118a43a329290
1238b70830a14
1318b567658c7
14b32da10892
15607db80d4a
hex36050d98b0

232013011120 has 80 divisors (see below), whose sum is σ = 588553178400. Its totient is φ = 84356352000.

The previous prime is 232013011093. The next prime is 232013011133. The reversal of 232013011120 is 21110310232.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 232013011094 and 232013011103.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8213020 + ... + 8241220.

It is an arithmetic number, because the mean of its divisors is an integer number (7356914730).

Almost surely, 2232013011120 is an apocalyptic number.

232013011120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232013011120 is an abundant number, since it is smaller than the sum of its proper divisors (356540167280).

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

232013011120 is a wasteful number, since it uses less digits than its factorization.

232013011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37574 (or 37568 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 232013011120 its reverse (21110310232), we get a palindrome (253123321352).

The spelling of 232013011120 in words is "two hundred thirty-two billion, thirteen million, eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 9349 18698 28201 37396 46745 56402 74792 93490 102839 112804 141005 149584 186980 205678 225608 282010 310211 373960 411356 451216 514195 564020 620422 747920 822712 1028390 1128040 1240844 1551055 1645424 2056780 2256080 2481688 3102110 4113560 4963376 6204220 8227120 12408440 24816880 263651149 527302298 1054604596 1318255745 2109209192 2636511490 2900162639 4218418384 5273022980 5800325278 10546045960 11600650556 14500813195 21092091920 23201301112 29001626390 46402602224 58003252780 116006505560 232013011120