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31304312220 = 22351966141543
BaseRepresentation
bin11101001001111000…
…011110010110011100
32222210122120211101010
4131021320132112130
51003102400442340
622214144015220
72155515156246
oct351170362634
988718524333
1031304312220
1112304517115
126097901510
132c4b67ca8c
14172d76d096
15c333bbb80
hex749e1e59c

31304312220 has 96 divisors (see below), whose sum is σ = 92407150080. Its totient is φ = 7896303360.

The previous prime is 31304312197. The next prime is 31304312257. The reversal of 31304312220 is 2221340313.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 732769 + ... + 774311.

It is an arithmetic number, because the mean of its divisors is an integer number (962574480).

Almost surely, 231304312220 is an apocalyptic number.

31304312220 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 31304312220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46203575040).

31304312220 is an abundant number, since it is smaller than the sum of its proper divisors (61102837860).

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

31304312220 is a wasteful number, since it uses less digits than its factorization.

31304312220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42235 (or 42233 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 31304312220 its reverse (2221340313), we get a palindrome (33525652533).

The spelling of 31304312220 in words is "thirty-one billion, three hundred four million, three hundred twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 570 661 1140 1322 1983 2644 3305 3966 6610 7932 9915 12559 13220 19830 25118 37677 39660 41543 50236 62795 75354 83086 124629 125590 150708 166172 188385 207715 249258 251180 376770 415430 498516 623145 753540 789317 830860 1246290 1578634 2367951 2492580 3157268 3946585 4735902 7893170 9471804 11839755 15786340 23679510 27459923 47359020 54919846 82379769 109839692 137299615 164759538 274599230 329519076 411898845 521738537 549198460 823797690 1043477074 1565215611 1647595380 2086954148 2608692685 3130431222 5217385370 6260862444 7826078055 10434770740 15652156110 31304312220