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312320020233312 = 253271311916972689
BaseRepresentation
bin100011100000011011010101…
…1110111001011110001100000
31111221211111120012112221112100
41013000312223313023301200
5311414022400134431222
63024125500410330400
7122533243152552210
oct10700665367136140
91457744505487470
10312320020233312
11905731a428a193
122b041866a29a00
13105368615635b0
14571a5263c8240
1526192618544ac
hex11c0dabdcbc60

312320020233312 has 144 divisors (see below), whose sum is σ = 1093120070908320. Its totient is φ = 82370115219456.

The previous prime is 312320020233281. The next prime is 312320020233391. The reversal of 312320020233312 is 213332020023213.

312320020233312 is a `hidden beast` number, since 3 + 1 + 2 + 320 + 0 + 2 + 0 + 2 + 3 + 331 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5958460137 + ... + 5958512552.

It is an arithmetic number, because the mean of its divisors is an integer number (7591111603530).

Almost surely, 2312320020233312 is an apocalyptic number.

312320020233312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

312320020233312 is an abundant number, since it is smaller than the sum of its proper divisors (780800050675008).

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

312320020233312 is a wasteful number, since it uses less digits than its factorization.

312320020233312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11916972725 (or 11916972714 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 312320020233312 its reverse (213332020023213), we get a palindrome (525652040256525).

The spelling of 312320020233312 in words is "three hundred twelve trillion, three hundred twenty billion, twenty million, two hundred thirty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 32 36 39 42 48 52 56 63 72 78 84 91 96 104 112 117 126 144 156 168 182 208 224 234 252 273 288 312 336 364 416 468 504 546 624 672 728 819 936 1008 1092 1248 1456 1638 1872 2016 2184 2912 3276 3744 4368 6552 8736 13104 26208 11916972689 23833945378 35750918067 47667890756 71501836134 83418808823 95335781512 107252754201 143003672268 154920644957 166837617646 190671563024 214505508402 250256426469 286007344536 309841289914 333675235292 381343126048 429011016804 464761934871 500512852938 572014689072 619682579828 667350470584 750769279407 858022033608 929523869742 1001025705876 1084444514699 1144029378144 1239365159656 1334700941168 1394285804613 1501538558814 1716044067216 1859047739484 2002051411752 2168889029398 2478730319312 2669401882336 2788571609226 3003077117628 3253333544097 3432088134432 3718095478968 4004102823504 4337778058796 4957460638624 5577143218452 6006154235256 6506667088194 7436190957936 8008205647008 8675556117592 9760000632291 11154286436904 12012308470512 13013334176388 14872381915872 17351112235184 19520001264582 22308572873808 24024616941024 26026668352776 34702224470368 39040002529164 44617145747616 52053336705552 78080005058328 104106673411104 156160010116656 312320020233312