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31100323020 = 223513219715569
BaseRepresentation
bin11100111101101110…
…010100010011001100
32222021102202002210120
4130331232110103030
51002143140314040
622142015504540
72150460245454
oct347556242314
988242662716
1031100323020
111220a359aa8
12603b528150
132c18329b00
14171062cd64
15c205257d0
hex73db944cc

31100323020 has 144 divisors (see below), whose sum is σ = 94779447840. Its totient is φ = 7616114688.

The previous prime is 31100323003. The next prime is 31100323043. The reversal of 31100323020 is 2032300113.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1989796 + ... + 2005364.

It is an arithmetic number, because the mean of its divisors is an integer number (658190610).

Almost surely, 231100323020 is an apocalyptic number.

31100323020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31100323020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47389723920).

31100323020 is an abundant number, since it is smaller than the sum of its proper divisors (63679124820).

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

31100323020 is a wasteful number, since it uses less digits than its factorization.

31100323020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15804 (or 15789 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 31100323020 its reverse (2032300113), we get a palindrome (33132623133).

The spelling of 31100323020 in words is "thirty-one billion, one hundred million, three hundred twenty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 169 195 197 260 338 390 394 507 591 676 780 788 845 985 1014 1182 1690 1970 2028 2364 2535 2561 2955 3380 3940 5070 5122 5910 7683 10140 10244 11820 12805 15366 15569 25610 30732 31138 33293 38415 46707 51220 62276 66586 76830 77845 93414 99879 133172 153660 155690 166465 186828 199758 202397 233535 311380 332930 399516 404794 467070 499395 607191 665860 809588 934140 998790 1011985 1214382 1997580 2023970 2428764 2631161 3035955 3067093 4047940 5262322 6071910 6134186 7893483 9201279 10524644 12143820 12268372 13155805 15335465 15786966 18402558 26311610 30670930 31573932 36805116 39467415 39872209 46006395 52623220 61341860 78934830 79744418 92012790 119616627 157869660 159488836 184025580 199361045 239233254 398722090 478466508 518338717 598083135 797444180 1036677434 1196166270 1555016151 2073354868 2392332540 2591693585 3110032302 5183387170 6220064604 7775080755 10366774340 15550161510 31100323020