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31000311020 = 2257618834111
BaseRepresentation
bin11100110111110000…
…110011010011101100
32222000110112222010102
4130313300303103230
51001442034423040
622124044130232
72145134203340
oct346760632354
988013488112
1031000311020
111216895a558
126011b36978
132c006b0a03
141701237620
15c1686c515
hex737c334ec

31000311020 has 96 divisors (see below), whose sum is σ = 75724486656. Its totient is φ = 10440057600.

The previous prime is 31000310993. The next prime is 31000311077. The reversal of 31000311020 is 2011300013.

It is a super-2 number, since 2×310003110202 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 31000310992 and 31000311010.

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, 7538765 + ... + 7542875.

It is an arithmetic number, because the mean of its divisors is an integer number (788796736).

Almost surely, 231000311020 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 31000311020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37862243328).

31000311020 is an abundant number, since it is smaller than the sum of its proper divisors (44724175636).

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

31000311020 is a wasteful number, since it uses less digits than its factorization.

31000311020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5071 (or 5069 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 31000311020 its reverse (2011300013), we get a palindrome (33011611033).

The spelling of 31000311020 in words is "thirty-one billion, three hundred eleven thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 61 70 122 140 244 305 427 610 854 883 1220 1708 1766 2135 3532 4111 4270 4415 6181 8222 8540 8830 12362 16444 17660 20555 24724 28777 30905 41110 53863 57554 61810 82220 107726 115108 123620 143885 215452 250771 269315 287770 377041 501542 538630 575540 754082 1003084 1077260 1253855 1508164 1755397 1885205 2507710 3510794 3630013 3770410 5015420 7021588 7260026 7540820 8776985 14520052 17553970 18150065 25410091 35107940 36300130 50820182 72600260 101640364 127050455 221430793 254100910 442861586 508201820 885723172 1107153965 1550015551 2214307930 3100031102 4428615860 6200062204 7750077755 15500155510 31000311020