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232130014533534 = 2313372512593123583
BaseRepresentation
bin110100110001111011111011…
…000011101101011110011110
31010102220102010211110021220110
4310301323323003231132132
5220411204232210033114
62141411020112230450
766615561104560215
oct6461737303553636
91112812124407813
10232130014533534
1167a668716505a7
122205042823b426
139c6a9c6b55230
14414721cc3007c
151bc837b0ca759
hexd31efb0ed79e

232130014533534 has 128 divisors (see below), whose sum is σ = 515733851824128. Its totient is φ = 69190101504000.

The previous prime is 232130014533503. The next prime is 232130014533551. The reversal of 232130014533534 is 435335410031232.

It is a super-2 number, since 2×2321300145335342 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 232130014533492 and 232130014533501.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1878271107 + ... + 1878394689.

It is an arithmetic number, because the mean of its divisors is an integer number (4029170717376).

Almost surely, 2232130014533534 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232130014533534, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257866925912064).

232130014533534 is an abundant number, since it is smaller than the sum of its proper divisors (283603837290594).

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

232130014533534 is a wasteful number, since it uses less digits than its factorization.

232130014533534 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126482.

The product of its (nonzero) digits is 388800, while the sum is 39.

Adding to 232130014533534 its reverse (435335410031232), we get a palindrome (667465424564766).

The spelling of 232130014533534 in words is "two hundred thirty-two trillion, one hundred thirty billion, fourteen million, five hundred thirty-three thousand, five hundred thirty-four".

Divisors: 1 2 3 6 13 26 37 39 74 78 111 222 251 481 502 753 962 1443 1506 2593 2886 3263 5186 6526 7779 9287 9789 15558 18574 19578 27861 33709 55722 67418 95941 101127 120731 123583 191882 202254 241462 247166 287823 362193 370749 575646 650843 724386 741498 1247233 1301686 1606579 1952529 2494466 3213158 3741699 3905058 4572571 4819737 7483398 8460959 9145142 9639474 13717713 16921918 24081191 25382877 27435426 31019333 48162382 50765754 59443423 62038666 72243573 93057999 118886846 144487146 178330269 186115998 313055483 320450719 356660538 403251329 626110966 640901438 806502658 939166449 961352157 1147715321 1209753987 1878332898 1922704314 2295430642 2419507974 3443145963 4165859347 6886291926 8331718694 11856676603 12497578041 14920299173 23713353206 24995156082 29840598346 35570029809 44760897519 71140059618 80433130469 89521795038 154136795839 160866260938 241299391407 308273591678 462410387517 482598782814 924820775034 1045630696097 2091261392194 2976025827353 3136892088291 5952051654706 6273784176582 8928077482059 17856154964118 38688335755589 77376671511178 116065007266767 232130014533534