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31123313016612 = 22329229509767279
BaseRepresentation
bin1110001001110011101100…
…00001000011111100100100
311002012100201012022110212120
413010321312001003330210
513034411021113012422
6150105504055345540
76361404465445215
oct704716601037444
9132170635273776
1031123313016612
119a0a3608a6523
1235a7aa66822b0
131449bba0b10bb
1479853ab4340c
1538e8c72ba45c
hex1c4e76043f24

31123313016612 has 96 divisors (see below), whose sum is σ = 75601632960000. Its totient is φ = 9953351192064.

The previous prime is 31123313016611. The next prime is 31123313016619. The reversal of 31123313016612 is 21661031332113.

It is a super-2 number, since 2×311233130166122 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (31123313016611) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40179589 + ... + 40946867.

It is an arithmetic number, because the mean of its divisors is an integer number (787517010000).

Almost surely, 231123313016612 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 31123313016612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37800816480000).

31123313016612 is an abundant number, since it is smaller than the sum of its proper divisors (44478319943388).

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

31123313016612 is a wasteful number, since it uses less digits than its factorization.

31123313016612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768053 (or 768051 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

Adding to 31123313016612 its reverse (21661031332113), we get a palindrome (52784344348725).

The spelling of 31123313016612 in words is "thirty-one trillion, one hundred twenty-three billion, three hundred thirteen million, sixteen thousand, six hundred twelve".

Divisors: 1 2 3 4 6 12 29 58 87 116 174 229 348 458 509 687 916 1018 1374 1527 2036 2748 3054 6108 6641 13282 14761 19923 26564 29522 39846 44283 59044 79692 88566 116561 177132 233122 349683 466244 699366 767279 1398732 1534558 2301837 3069116 3380269 4603674 6760538 9207348 10140807 13521076 20281614 22251091 40563228 44502182 66753273 89004364 133506546 175706891 267013092 351413782 390545011 527120673 702827564 781090022 1054241346 1171635033 1562180044 2108482692 2343270066 4686540132 5095499839 10190999678 11325805319 15286499517 20381999356 22651610638 30572999034 33977415957 45303221276 61145998068 67954831914 89434807519 135909663828 178869615038 268304422557 357739230076 536608845114 1073217690228 2593609418051 5187218836102 7780828254153 10374437672204 15561656508306 31123313016612