Search a number
-
+
232320120100320 = 2535769142892887
BaseRepresentation
bin110100110100101100111110…
…001110111001010111100000
31010110120120211121121200200110
4310310230332032321113200
5220422313101221202240
62142034220110251320
766635401102331160
oct6464547616712740
91113516747550613
10232320120100320
116802a45625066a
12220812421b6b40
139c829022c94a5
1441524d4bcc5a0
151bcd2a5a95c80
hexd34b3e3b95e0

232320120100320 has 96 divisors (see below), whose sum is σ = 836352432373248. Its totient is φ = 53101741736448.

The previous prime is 232320120100309. The next prime is 232320120100399. The reversal of 232320120100320 is 23001021023232.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

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, 34571443084 + ... + 34571449803.

It is an arithmetic number, because the mean of its divisors is an integer number (8712004503888).

Almost surely, 2232320120100320 is an apocalyptic number.

232320120100320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232320120100320 is an abundant number, since it is smaller than the sum of its proper divisors (604032312272928).

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

232320120100320 is a wasteful number, since it uses less digits than its factorization.

232320120100320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69142892912 (or 69142892904 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 232320120100320 its reverse (23001021023232), we get a palindrome (255321141123552).

The spelling of 232320120100320 in words is "two hundred thirty-two trillion, three hundred twenty billion, one hundred twenty million, one hundred thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 70 80 84 96 105 112 120 140 160 168 210 224 240 280 336 420 480 560 672 840 1120 1680 3360 69142892887 138285785774 207428678661 276571571548 345714464435 414857357322 484000250209 553143143096 691428928870 829714714644 968000500418 1037143393305 1106286286192 1382857857740 1452000750627 1659429429288 1936001000836 2074286786610 2212572572384 2420001251045 2765715715480 2904001501254 3318858858576 3872002001672 4148573573220 4840002502090 5531431430960 5808003002508 6637717717152 7260003753135 7744004003344 8297147146440 9680005004180 11062862861920 11616006005016 14520007506270 15488008006688 16594294292880 19360010008360 23232012010032 29040015012540 33188588585760 38720020016720 46464024020064 58080030025080 77440040033440 116160060050160 232320120100320