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31014432020 = 225112134672111
BaseRepresentation
bin11100111000100110…
…101010110100010100
32222001110010101111102
4130320212222310110
51002004143311040
622125310525232
72145365215415
oct347046526424
988043111442
1031014432020
1112175924900
126016806818
132c035b6230
14170307180c
15c17c0b515
hex7389aad14

31014432020 has 144 divisors (see below), whose sum is σ = 77298084864. Its totient is φ = 10383225600.

The previous prime is 31014431947. The next prime is 31014432037. The reversal of 31014432020 is 2023441013.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 31014431983 and 31014432001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14690765 + ... + 14692875.

It is an arithmetic number, because the mean of its divisors is an integer number (536792256).

Almost surely, 231014432020 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 31014432020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38649042432).

31014432020 is an abundant number, since it is smaller than the sum of its proper divisors (46283652844).

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

31014432020 is a wasteful number, since it uses less digits than its factorization.

31014432020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2622 (or 2609 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 31014432020 its reverse (2023441013), we get a palindrome (33037873033).

The spelling of 31014432020 in words is "thirty-one billion, fourteen million, four hundred thirty-two thousand, twenty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 121 130 143 220 242 260 286 467 484 572 605 715 934 1210 1430 1573 1868 2111 2335 2420 2860 3146 4222 4670 5137 6071 6292 7865 8444 9340 10274 10555 12142 15730 20548 21110 23221 24284 25685 27443 30355 31460 42220 46442 51370 54886 56507 60710 66781 92884 102740 109772 113014 116105 121420 133562 137215 226028 232210 255431 267124 274430 282535 301873 333905 464420 510862 548860 565070 603746 667810 734591 985837 1021724 1130140 1207492 1277155 1335620 1469182 1509365 1971674 2554310 2938364 3018730 3320603 3672955 3943348 4929185 5108620 6037460 6641206 7345910 9858370 10844207 12815881 13282412 14691820 16603015 19716740 21688414 25631762 33206030 43376828 51263524 54221035 64079405 66412060 108442070 119286277 128158810 140974691 216884140 238572554 256317620 281949382 477145108 563898764 596431385 704873455 1192862770 1409746910 1550721601 2385725540 2819493820 3101443202 6202886404 7753608005 15507216010 31014432020