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131018328 = 23327475531
BaseRepresentation
bin1111100111100…
…10111001011000
3100010112102100200
413303302321120
5232020041303
621000102200
73150431430
oct763627130
9303472320
10131018328
1167a58011
1237a64960
13211b414c
14135872c0
15b7803a3
hex7cf2e58

131018328 has 96 divisors (see below), whose sum is σ = 414236160. Its totient is φ = 36630720.

The previous prime is 131018309. The next prime is 131018339. The reversal of 131018328 is 823810131.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20923 + ... + 26453.

It is an arithmetic number, because the mean of its divisors is an integer number (4314960).

Almost surely, 2131018328 is an apocalyptic number.

131018328 is a gapful number since it is divisible by the number (18) 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 131018328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207118080).

131018328 is an abundant number, since it is smaller than the sum of its proper divisors (283217832).

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

131018328 is a wasteful number, since it uses less digits than its factorization.

131018328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5597 (or 5590 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 131018328 is about 11446.3237766542. The cubic root of 131018328 is about 507.8989920488.

Adding to 131018328 its reverse (823810131), we get a palindrome (954828459).

The spelling of 131018328 in words is "one hundred thirty-one million, eighteen thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 47 56 63 72 84 94 126 141 168 188 252 282 329 376 423 504 564 658 846 987 1128 1316 1692 1974 2632 2961 3384 3948 5531 5922 7896 11062 11844 16593 22124 23688 33186 38717 44248 49779 66372 77434 99558 116151 132744 154868 199116 232302 259957 309736 348453 398232 464604 519914 696906 779871 929208 1039828 1393812 1559742 1819699 2079656 2339613 2787624 3119484 3639398 4679226 5459097 6238968 7278796 9358452 10918194 14557592 16377291 18716904 21836388 32754582 43672776 65509164 131018328