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131365332 = 22327547953
BaseRepresentation
bin1111101010001…
…11100111010100
3100011012001100200
413311013213110
5232112142312
621011340500
73153405210
oct765074724
9304161320
10131365332
116817479a
1237bb1730
13212a6087
1413637940
15b7ed0dc
hex7d479d4

131365332 has 72 divisors (see below), whose sum is σ = 380592576. Its totient is φ = 37425024.

The previous prime is 131365309. The next prime is 131365361. The reversal of 131365332 is 233563131.

It is a happy number.

131365332 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 653 + 3 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 131365296 and 131365305.

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, 137368 + ... + 138320.

It is an arithmetic number, because the mean of its divisors is an integer number (5286008).

Almost surely, 2131365332 is an apocalyptic number.

131365332 is a gapful number since it is divisible by the number (12) 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 131365332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190296288).

131365332 is an abundant number, since it is smaller than the sum of its proper divisors (249227244).

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

131365332 is a wasteful number, since it uses less digits than its factorization.

131365332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1517 (or 1512 counting only the distinct ones).

The product of its digits is 4860, while the sum is 27.

The square root of 131365332 is about 11461.4716332590. The cubic root of 131365332 is about 508.3469894626.

The spelling of 131365332 in words is "one hundred thirty-one million, three hundred sixty-five thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 547 953 1094 1641 1906 2188 2859 3282 3812 3829 4923 5718 6564 6671 7658 8577 9846 11436 11487 13342 15316 17154 19692 20013 22974 26684 34308 34461 40026 45948 60039 68922 80052 120078 137844 240156 521291 1042582 1563873 2085164 3127746 3649037 4691619 6255492 7298074 9383238 10947111 14596148 18766476 21894222 32841333 43788444 65682666 131365332