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131023404 = 223247211367
BaseRepresentation
bin1111100111101…
…00001000101100
3100010112200022200
413303310020230
5232020222104
621000141500
73150452301
oct763641054
9303480280
10131023404
1167a60906
1237a67890
13211b6555
14135890a8
15b781b39
hex7cf422c

131023404 has 72 divisors (see below), whose sum is σ = 340773888. Its totient is φ = 42426720.

The previous prime is 131023381. The next prime is 131023423. The reversal of 131023404 is 404320131.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 356829 + ... + 357195.

Almost surely, 2131023404 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 131023404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170386944).

131023404 is an abundant number, since it is smaller than the sum of its proper divisors (209750484).

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

131023404 is a wasteful number, since it uses less digits than its factorization.

131023404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 635 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 131023404 is about 11446.5455050858. The cubic root of 131023404 is about 507.9055510853.

Adding to 131023404 its reverse (404320131), we get a palindrome (535343535).

The spelling of 131023404 in words is "one hundred thirty-one million, twenty-three thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 47 94 141 188 211 282 367 422 423 564 633 734 844 846 1101 1266 1468 1692 1899 2202 2532 3303 3798 4404 6606 7596 9917 13212 17249 19834 29751 34498 39668 51747 59502 68996 77437 89253 103494 119004 154874 155241 178506 206988 232311 309748 310482 357012 464622 620964 696933 929244 1393866 2787732 3639539 7279078 10918617 14558156 21837234 32755851 43674468 65511702 131023404