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231312320100 = 223252298862541
BaseRepresentation
bin1101011101101101001…
…0011110011001100100
3211010001112221100121200
43113123102132121210
512242211423220400
6254132521442500
722466064164661
oct3273322363144
9733045840550
10231312320100
118a10a8577a4
12389b6040430
1318a74543b34
14b2a4936a68
15603c3c3b00
hex35db49e664

231312320100 has 108 divisors (see below), whose sum is σ = 750036929460. Its totient is φ = 59556268800.

The previous prime is 231312320089. The next prime is 231312320117. The reversal of 231312320100 is 1023213132.

231312320100 is a `hidden beast` number, since 2 + 31 + 312 + 320 + 1 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1326853476 + 229985466624 = 36426^2 + 479568^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4405171 + ... + 4457370.

Almost surely, 2231312320100 is an apocalyptic number.

231312320100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

231312320100 is an abundant number, since it is smaller than the sum of its proper divisors (518724609360).

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

231312320100 is a wasteful number, since it uses less digits than its factorization.

231312320100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8862590 (or 8862580 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 231312320100 its reverse (1023213132), we get a palindrome (232335533232).

The spelling of 231312320100 in words is "two hundred thirty-one billion, three hundred twelve million, three hundred twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 29 30 36 45 50 58 60 75 87 90 100 116 145 150 174 180 225 261 290 300 348 435 450 522 580 725 870 900 1044 1305 1450 1740 2175 2610 2900 4350 5220 6525 8700 13050 26100 8862541 17725082 26587623 35450164 44312705 53175246 79762869 88625410 106350492 132938115 159525738 177250820 221563525 257013689 265876230 319051476 398814345 443127050 514027378 531752460 664690575 771041067 797628690 886254100 1028054756 1285068445 1329381150 1542082134 1595257380 1994071725 2313123201 2570136890 2658762300 3084164268 3855205335 3988143450 4626246402 5140273780 6425342225 7710410670 7976286900 9252492804 11565616005 12850684450 15420821340 19276026675 23131232010 25701368900 38552053350 46262464020 57828080025 77104106700 115656160050 231312320100