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123031205531432 = 231161132130675657
BaseRepresentation
bin11011111110010101101111…
…010011010100111100101000
3121010121200001020202112222222
4123332111233103110330220
5112111220402104001212
61113355431111133212
734625465652114062
oct3376255723247450
9533550036675888
10123031205531432
1136224272118590
1211970331974208
135385a40001a73
142254a56540732
15e354cd752c72
hex6fe56f4d4f28

123031205531432 has 128 divisors (see below), whose sum is σ = 256102576778880. Its totient is φ = 54937225728000.

The previous prime is 123031205531417. The next prime is 123031205531449. The reversal of 123031205531432 is 234135502130321.

It is a junction number, because it is equal to n+sod(n) for n = 123031205531392 and 123031205531401.

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, 21748486748 + ... + 21748492404.

It is an arithmetic number, because the mean of its divisors is an integer number (2000801381085).

Almost surely, 2123031205531432 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 123031205531432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128051288389440).

123031205531432 is an abundant number, since it is smaller than the sum of its proper divisors (133071371247448).

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

123031205531432 is a wasteful number, since it uses less digits than its factorization.

123031205531432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10123 (or 10119 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 35.

Adding to 123031205531432 its reverse (234135502130321), we get a palindrome (357166707661753).

The spelling of 123031205531432 in words is "one hundred twenty-three trillion, thirty-one billion, two hundred five million, five hundred thirty-one thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 22 44 61 88 122 244 488 671 1321 1342 2642 2684 3067 5284 5368 5657 6134 10568 11314 12268 14531 22628 24536 29062 33737 45256 58124 62227 67474 80581 116248 124454 134948 161162 187087 248908 269896 322324 345077 374174 497816 644648 690154 748348 886391 1380308 1496696 1772782 2057957 2760616 3545564 3795847 4051507 4115914 7091128 7472897 7591694 8103014 8231828 14945794 15183388 16206028 16463656 17350019 29891588 30366776 32412056 34700038 44566577 59783176 69400076 82201867 89133154 138800152 164403734 178266308 190850209 247141927 328807468 356532616 381700418 455846717 494283854 657614936 763400836 911693434 988567708 1058351159 1526801672 1823386868 1977135416 2116702318 2718561197 3646773736 4233404636 5014313887 5437122394 8466809272 10028627774 10874244788 11641862749 20057255548 21748489576 22919375099 23283725498 40114511096 45838750198 46567450996 91677500396 93134901992 183355000792 252113126089 504226252178 1008452504356 1398081881039 2016905008712 2796163762078 5592327524156 11184655048312 15378900691429 30757801382858 61515602765716 123031205531432