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31371124160 = 2652319921419
BaseRepresentation
bin11101001101110111…
…010101110111000000
32222222022022020010102
4131031313111313000
51003222001433120
622224532021532
72160256104245
oct351567256700
988868266112
1031371124160
11123391aa9a2
1260b61618a8
132c5c47347c
1417385a15cc
15c391b7d75
hex74ddd5dc0

31371124160 has 112 divisors (see below), whose sum is σ = 78345792000. Its totient is φ = 11941991424.

The previous prime is 31371124151. The next prime is 31371124189. The reversal of 31371124160 is 6142117313.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1453931 + ... + 1475349.

It is an arithmetic number, because the mean of its divisors is an integer number (699516000).

Almost surely, 231371124160 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 31371124160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39172896000).

31371124160 is an abundant number, since it is smaller than the sum of its proper divisors (46974667840).

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

31371124160 is a wasteful number, since it uses less digits than its factorization.

31371124160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21658 (or 21648 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 29.

The spelling of 31371124160 in words is "thirty-one billion, three hundred seventy-one million, one hundred twenty-four thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 160 184 199 230 320 368 398 460 736 796 920 995 1472 1592 1840 1990 3184 3680 3980 4577 6368 7360 7960 9154 12736 15920 18308 21419 22885 31840 36616 42838 45770 63680 73232 85676 91540 107095 146464 171352 183080 214190 292928 342704 366160 428380 492637 685408 732320 856760 985274 1370816 1464640 1713520 1970548 2463185 3427040 3941096 4262381 4926370 6854080 7882192 8524762 9852740 15764384 17049524 19705480 21311905 31528768 34099048 39410960 42623810 68198096 78821920 85247620 98034763 136396192 157643840 170495240 196069526 272792384 340990480 392139052 490173815 681980960 784278104 980347630 1363961920 1568556208 1960695260 3137112416 3921390520 6274224832 7842781040 15685562080 31371124160