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31331000338 = 211232916313099
BaseRepresentation
bin11101001011011110…
…010010000000010010
32222212111210201120221
4131023132102000102
51003131214002323
622220540023254
72156261052211
oct351336220022
988774721527
1031331000338
1112318595310
1260a4831b2a
132c54065471
141733119078
15c358de55d
hex74b792012

31331000338 has 64 divisors (see below), whose sum is σ = 55686528000. Its totient is φ = 13070756160.

The previous prime is 31331000303. The next prime is 31331000347. The reversal of 31331000338 is 83300013313.

It is a super-2 number, since 2×313310003382 (a number of 22 digits) contains 22 as substring.

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, 2385313 + ... + 2398411.

It is an arithmetic number, because the mean of its divisors is an integer number (870102000).

Almost surely, 231331000338 is an apocalyptic number.

31331000338 is the 94614-th centered heptagonal number.

31331000338 is a deficient number, since it is larger than the sum of its proper divisors (24355527662).

31331000338 is a wasteful number, since it uses less digits than its factorization.

31331000338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13327.

The product of its (nonzero) digits is 1944, while the sum is 25.

The spelling of 31331000338 in words is "thirty-one billion, three hundred thirty-one million, three hundred thirty-eight", and thus it is an aban number.

Divisors: 1 2 11 22 23 29 46 58 163 253 319 326 506 638 667 1334 1793 3586 3749 4727 7337 7498 9454 13099 14674 26198 41239 51997 82478 103994 108721 144089 217442 288178 301277 379871 602554 759742 1195931 2135137 2391862 3314047 4178581 4270274 6628094 8357162 8737033 17474066 23486507 46973014 49108151 61918973 96107363 98216302 123837946 192214726 540189661 681108703 1080379322 1362217406 1424136379 2848272758 15665500169 31331000338