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31012331460 = 223511229147299
BaseRepresentation
bin11100111000011110…
…101001111111000100
32222001022011200001220
4130320132221333010
51002003124101320
622125153520340
72145341316345
oct347036517704
988038150056
1031012331460
111217471a700
126015b730b0
132c0302c0b6
141702a860cc
15c17943e40
hex7387a9fc4

31012331460 has 144 divisors (see below), whose sum is σ = 98738136000. Its totient is φ = 7258845440.

The previous prime is 31012331419. The next prime is 31012331461. The reversal of 31012331460 is 6413321013.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 31012331460.

It is not an unprimeable number, because it can be changed into a prime (31012331461) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 136891 + ... + 284189.

It is an arithmetic number, because the mean of its divisors is an integer number (685681500).

Almost surely, 231012331460 is an apocalyptic number.

31012331460 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 31012331460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49369068000).

31012331460 is an abundant number, since it is smaller than the sum of its proper divisors (67725804540).

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

31012331460 is a wasteful number, since it uses less digits than its factorization.

31012331460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147362 (or 147349 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 31012331460 its reverse (6413321013), we get a palindrome (37425652473).

The spelling of 31012331460 in words is "thirty-one billion, twelve million, three hundred thirty-one thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 29 30 33 44 55 58 60 66 87 110 116 121 132 145 165 174 220 242 290 319 330 348 363 435 484 580 605 638 660 726 870 957 1210 1276 1452 1595 1740 1815 1914 2420 3190 3509 3630 3828 4785 6380 7018 7260 9570 10527 14036 17545 19140 21054 35090 42108 52635 70180 105270 147299 210540 294598 441897 589196 736495 883794 1472990 1620289 1767588 2209485 2945980 3240578 4271671 4418970 4860867 6481156 8101445 8543342 8837940 9721734 12815013 16202890 17086684 17823179 19443468 21358355 24304335 25630026 32405780 35646358 42716710 46988381 48608670 51260052 53469537 64075065 71292716 85433420 89115895 93976762 97217340 106939074 128150130 140965143 178231790 187953524 213878148 234941905 256300260 267347685 281930286 356463580 469883810 516872191 534695370 563860572 704825715 939767620 1033744382 1069390740 1409651430 1550616573 2067488764 2584360955 2819302860 3101233146 5168721910 6202466292 7753082865 10337443820 15506165730 31012331460