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20131323324312 = 23323373917251639
BaseRepresentation
bin1001001001111001100000…
…11000000010011110011000
32122021112110112110120222010
410210330300120002132120
510114312422232334222
6110452111404425520
74145303646612414
oct444746030023630
978245415416863
1020131323324312
116461712215322
1223117035482a0
13b304b639bab5
144d850b399d44
1524d9dde9580c
hex124f30602798

20131323324312 has 128 divisors (see below), whose sum is σ = 53949844454400. Its totient is φ = 6243585689088.

The previous prime is 20131323324269. The next prime is 20131323324323. The reversal of 20131323324312 is 21342332313102.

It is a self number, because there is not a number n which added to its sum of digits gives 20131323324312.

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, 79874989 + ... + 80126627.

It is an arithmetic number, because the mean of its divisors is an integer number (421483159800).

Almost surely, 220131323324312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20131323324312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26974922227200).

20131323324312 is an abundant number, since it is smaller than the sum of its proper divisors (33818521130088).

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

20131323324312 is a wasteful number, since it uses less digits than its factorization.

20131323324312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255625 (or 255621 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

Adding to 20131323324312 its reverse (21342332313102), we get a palindrome (41473655637414).

The spelling of 20131323324312 in words is "twenty trillion, one hundred thirty-one billion, three hundred twenty-three million, three hundred twenty-four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 23 24 37 46 69 74 92 111 138 148 184 222 276 296 444 552 851 888 1702 2553 3404 3917 5106 6808 7834 10212 11751 15668 20424 23502 31336 47004 90091 94008 144929 180182 251639 270273 289858 360364 434787 503278 540546 579716 720728 754917 869574 1006556 1081092 1159432 1509834 1739148 2013112 2162184 3019668 3333367 3478296 5787697 6039336 6666734 9310643 10000101 11575394 13333468 17363091 18621286 20000202 23150788 26666936 27931929 34726182 37242572 40000404 46301576 55863858 69452364 74485144 80000808 111727716 138904728 214144789 223455432 428289578 642434367 856579156 985669963 1284868734 1713158312 1971339926 2569737468 2957009889 3942679852 5139474936 5914019778 7885359704 11828039556 22670409149 23656079112 36469788631 45340818298 68011227447 72939577262 90681636596 109409365893 136022454894 145879154524 181363273192 218818731786 272044909788 291758309048 437637463572 544089819576 838805138513 875274927144 1677610277026 2516415415539 3355220554052 5032830831078 6710441108104 10065661662156 20131323324312