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331020013320 = 233253972316121
BaseRepresentation
bin1001101000100100101…
…01001000111100001000
31011122102100112222100100
410310102111020330020
520410412110411240
6412022443405400
732625661455063
oct4642225107410
91148370488310
10331020013320
11118426193447
12541a1b23860
13252a461a389
1412042c278da
158925b1de30
hex4d12548f08

331020013320 has 96 divisors (see below), whose sum is σ = 1078525370520. Its totient is φ = 88049617920.

The previous prime is 331020013309. The next prime is 331020013321. The reversal of 331020013320 is 23310020133.

331020013320 is a `hidden beast` number, since 3 + 310 + 20 + 0 + 1 + 332 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 270027808164 + 60992205156 = 519642^2 + 246966^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 331020013293 and 331020013302.

It is not an unprimeable number, because it can be changed into a prime (331020013321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1015141 + ... + 1300980.

Almost surely, 2331020013320 is an apocalyptic number.

331020013320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

331020013320 is an abundant number, since it is smaller than the sum of its proper divisors (747505357200).

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

331020013320 is a wasteful number, since it uses less digits than its factorization.

331020013320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2316535 (or 2316528 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 331020013320 its reverse (23310020133), we get a palindrome (354330033453).

The spelling of 331020013320 in words is "three hundred thirty-one billion, twenty million, thirteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 397 794 1191 1588 1985 2382 3176 3573 3970 4764 5955 7146 7940 9528 11910 14292 15880 17865 23820 28584 35730 47640 71460 142920 2316121 4632242 6948363 9264484 11580605 13896726 18528968 20845089 23161210 27793452 34741815 41690178 46322420 55586904 69483630 83380356 92644840 104225445 138967260 166760712 208450890 277934520 416901780 833803560 919500037 1839000074 2758500111 3678000148 4597500185 5517000222 7356000296 8275500333 9195000370 11034000444 13792500555 16551000666 18390000740 22068000888 27585001110 33102001332 36780001480 41377501665 55170002220 66204002664 82755003330 110340004440 165510006660 331020013320