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131303104 = 2617231229
BaseRepresentation
bin1111101001110…
…00011011000000
3100011001212222221
413310320123000
5232103144404
621010140424
73153025612
oct764703300
9304055887
10131303104
1168131a69
1237b81714
132128395a
141361cdb2
15b7d9954
hex7d386c0

131303104 has 84 divisors (see below), whose sum is σ = 286959040. Its totient is φ = 59535360.

The previous prime is 131303093. The next prime is 131303119. The reversal of 131303104 is 401303131.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 573262 + ... + 573490.

Almost surely, 2131303104 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 131303104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143479520).

131303104 is an abundant number, since it is smaller than the sum of its proper divisors (155655936).

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

131303104 is a wasteful number, since it uses less digits than its factorization.

131303104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 131303104 is about 11458.7566515744. The cubic root of 131303104 is about 508.2667084828.

Adding to 131303104 its reverse (401303131), we get a palindrome (532606235).

The spelling of 131303104 in words is "one hundred thirty-one million, three hundred three thousand, one hundred four".

Divisors: 1 2 4 8 16 17 31 32 34 62 64 68 124 136 229 248 272 289 458 496 527 544 578 916 992 1054 1088 1156 1832 1984 2108 2312 3664 3893 4216 4624 7099 7328 7786 8432 8959 9248 14198 14656 15572 16864 17918 18496 28396 31144 33728 35836 56792 62288 66181 71672 113584 120683 124576 132362 143344 227168 241366 249152 264724 286688 454336 482732 529448 573376 965464 1058896 1930928 2051611 2117792 3861856 4103222 4235584 7723712 8206444 16412888 32825776 65651552 131303104