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313132112331000 = 23353372821010021
BaseRepresentation
bin100011100110010101100000…
…0010100101100000011111000
31112001201010201022002220010220
41013030223000110230003320
5312020324031224043000
63025550523450340040
7122646022436521314
oct10714530024540370
91461633638086126
10313132112331000
1190856646089946
122b153126a2a620
131059530177c451
1457479646a2b44
15263044150a1a0
hex11ccac052c0f8

313132112331000 has 128 divisors (see below), whose sum is σ = 1003376844624960. Its totient is φ = 81245088576000.

The previous prime is 313132112330993. The next prime is 313132112331011. The reversal of 313132112331000 is 133211231313.

It is a super-2 number, since 2×3131321123310002 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1410394011 + ... + 1410616010.

Almost surely, 2313132112331000 is an apocalyptic number.

313132112331000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

313132112331000 is an abundant number, since it is smaller than the sum of its proper divisors (690244732293960).

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

313132112331000 is a wasteful number, since it uses less digits than its factorization.

313132112331000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2821010082 (or 2821010068 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 313132112331000 its reverse (133211231313), we get a palindrome (313265323562313).

The spelling of 313132112331000 in words is "three hundred thirteen trillion, one hundred thirty-two billion, one hundred twelve million, three hundred thirty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 37 40 50 60 74 75 100 111 120 125 148 150 185 200 222 250 296 300 370 375 444 500 555 600 740 750 888 925 1000 1110 1480 1500 1850 2220 2775 3000 3700 4440 4625 5550 7400 9250 11100 13875 18500 22200 27750 37000 55500 111000 2821010021 5642020042 8463030063 11284040084 14105050105 16926060126 22568080168 28210100210 33852120252 42315150315 56420200420 67704240504 70525250525 84630300630 104377370777 112840400840 141050501050 169260601260 208754741554 211575751575 282101002100 313132112331 338521202520 352626252625 417509483108 423151503150 521886853885 564202004200 626264224662 705252505250 835018966216 846303006300 1043773707770 1057878757875 1252528449324 1410505010500 1565660561655 1692606012600 2087547415540 2115757515750 2505056898648 2609434269425 2821010021000 3131321123310 4175094831080 4231515031500 5218868538850 6262642246620 7828302808275 8463030063000 10437737077700 12525284493240 13047171347125 15656605616550 20875474155400 26094342694250 31313211233100 39141514041375 52188685388500 62626422466200 78283028082750 104377370777000 156566056165500 313132112331000