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232132011322120 = 235713232772718721
BaseRepresentation
bin110100110001111101110010…
…000100110110101100001000
31010102220121021222202122220021
4310301331302010312230020
5220411222324344301440
62141411550202310224
766615661432155250
oct6461756204665410
91112817258678807
10232132011322120
1167a676a67a43a8
12220508a4ab8374
139c6ac54746940
14414736c0d0960
151bc844655684a
hexd31f72136b08

232132011322120 has 128 divisors (see below), whose sum is σ = 670776113226240. Its totient is φ = 70271783239680.

The previous prime is 232132011322111. The next prime is 232132011322163. The reversal of 232132011322120 is 21223110231232.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1386275641 + ... + 1386443080.

It is an arithmetic number, because the mean of its divisors is an integer number (5240438384580).

Almost surely, 2232132011322120 is an apocalyptic number.

232132011322120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232132011322120 is an abundant number, since it is smaller than the sum of its proper divisors (438644101904120).

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

232132011322120 is a wasteful number, since it uses less digits than its factorization.

232132011322120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2772718775 (or 2772718771 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 232132011322120 its reverse (21223110231232), we get a palindrome (253355121553352).

The spelling of 232132011322120 in words is "two hundred thirty-two trillion, one hundred thirty-two billion, eleven million, three hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 20 23 26 28 35 40 46 52 56 65 70 91 92 104 115 130 140 161 182 184 230 260 280 299 322 364 455 460 520 598 644 728 805 910 920 1196 1288 1495 1610 1820 2093 2392 2990 3220 3640 4186 5980 6440 8372 10465 11960 16744 20930 41860 83720 2772718721 5545437442 11090874884 13863593605 19409031047 22181749768 27727187210 36045343373 38818062094 55454374420 63772530583 72090686746 77636124188 97045155235 110908748840 127545061166 144181373492 155272248376 180226716865 194090310470 252317403611 255090122332 288362746984 318862652915 360453433730 388180620940 446407714081 504634807222 510180244664 637725305830 720906867460 776361241880 829042897579 892815428162 1009269614444 1261587018055 1275450611660 1441813734920 1658085795158 1785630856324 2018539228888 2232038570405 2523174036110 2550901223320 3316171590316 3571261712648 4145214487895 4464077140810 5046348072220 5803300283053 6632343180632 8290428975790 8928154281620 10092696144440 11606600566106 16580857951580 17856308563240 23213201132212 29016501415265 33161715903160 46426402264424 58033002830530 116066005661060 232132011322120