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131104104 = 233191072687
BaseRepresentation
bin1111101000001…
…11110101101000
3100010200210000120
413310013311220
5232030312404
621002003240
73151236465
oct764076550
9303623016
10131104104
11680064aa
1237aa6520
13212141c1
14135aa66c
15b79a9d9
hex7d07d68

131104104 has 64 divisors (see below), whose sum is σ = 348364800. Its totient is φ = 40999104.

The previous prime is 131104093. The next prime is 131104111. The reversal of 131104104 is 401401131.

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, 47449 + ... + 50135.

It is an arithmetic number, because the mean of its divisors is an integer number (5443200).

Almost surely, 2131104104 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 131104104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174182400).

131104104 is an abundant number, since it is smaller than the sum of its proper divisors (217260696).

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

131104104 is a wasteful number, since it uses less digits than its factorization.

131104104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2822 (or 2818 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 131104104 is about 11450.0700434539. The cubic root of 131104104 is about 508.0098061637.

Adding to 131104104 its reverse (401401131), we get a palindrome (532505235).

The spelling of 131104104 in words is "one hundred thirty-one million, one hundred four thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 107 114 152 214 228 321 428 456 642 856 1284 2033 2568 2687 4066 5374 6099 8061 8132 10748 12198 16122 16264 21496 24396 32244 48792 51053 64488 102106 153159 204212 287509 306318 408424 575018 612636 862527 1150036 1225272 1725054 2300072 3450108 5462671 6900216 10925342 16388013 21850684 32776026 43701368 65552052 131104104