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131201304 = 23313795323
BaseRepresentation
bin1111101000111…
…11100100011000
3100010212201100120
413310133210120
5232041420204
621004033240
73152123043
oct764374430
9303781316
10131201304
1168072533
1237b32820
1321249510
14135d3c5a
15b7b96d9
hex7d1f918

131201304 has 64 divisors (see below), whose sum is σ = 357772800. Its totient is φ = 39851136.

The previous prime is 131201303. The next prime is 131201351. The reversal of 131201304 is 403102131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131201303) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21987 + ... + 27309.

It is an arithmetic number, because the mean of its divisors is an integer number (5590200).

Almost surely, 2131201304 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 131201304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178886400).

131201304 is an abundant number, since it is smaller than the sum of its proper divisors (226571496).

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

131201304 is a wasteful number, since it uses less digits than its factorization.

131201304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5424 (or 5420 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 131201304 is about 11454.3137725488. The cubic root of 131201304 is about 508.1353205543.

Adding to 131201304 its reverse (403102131), we get a palindrome (534303435).

The spelling of 131201304 in words is "one hundred thirty-one million, two hundred one thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 79 104 156 158 237 312 316 474 632 948 1027 1896 2054 3081 4108 5323 6162 8216 10646 12324 15969 21292 24648 31938 42584 63876 69199 127752 138398 207597 276796 415194 420517 553592 830388 841034 1261551 1660776 1682068 2523102 3364136 5046204 5466721 10092408 10933442 16400163 21866884 32800326 43733768 65600652 131201304