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131004625224 = 233114918211231
BaseRepresentation
bin111101000000001111…
…0111111000101001000
3110112010221022111100110
41322000132333011020
54121244141001344
6140103243434320
712315262640604
oct1720036770510
9415127274313
10131004625224
1150616771a10
12214812259a0
13c47a071025
1464aaa9c504
15361b15a3b9
hex1e807bf148

131004625224 has 128 divisors (see below), whose sum is σ = 358740264960. Its totient is φ = 39537120000.

The previous prime is 131004625223. The next prime is 131004625229. The reversal of 131004625224 is 422526400131.

It is a junction number, because it is equal to n+sod(n) for n = 131004625191 and 131004625200.

It is not an unprimeable number, because it can be changed into a prime (131004625223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106420689 + ... + 106421919.

It is an arithmetic number, because the mean of its divisors is an integer number (2802658320).

Almost surely, 2131004625224 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 131004625224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179370132480).

131004625224 is an abundant number, since it is smaller than the sum of its proper divisors (227735639736).

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

131004625224 is a wasteful number, since it uses less digits than its factorization.

131004625224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2563 (or 2559 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The spelling of 131004625224 in words is "one hundred thirty-one billion, four million, six hundred twenty-five thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 491 821 982 1231 1473 1642 1964 2462 2463 2946 3284 3693 3928 4924 4926 5401 5892 6568 7386 9031 9848 9852 10802 11784 13541 14772 16203 18062 19704 21604 27082 27093 29544 32406 36124 40623 43208 54164 54186 64812 72248 81246 108328 108372 129624 162492 216744 324984 403111 604421 806222 1010651 1208842 1209333 1612444 1813263 2021302 2417684 2418666 3031953 3224888 3626526 4042604 4434221 4835368 4837332 6063906 6648631 7253052 8085208 8868442 9674664 11117161 12127812 13297262 13302663 14506104 17736884 19945893 22234322 24255624 26594524 26605326 33351483 35473768 39891786 44468644 53189048 53210652 66702966 79783572 88937288 106421304 133405932 159567144 266811864 496229641 992459282 1488688923 1984918564 2977377846 3969837128 5458526051 5954755692 10917052102 11909511384 16375578153 21834104204 32751156306 43668208408 65502312612 131004625224