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131521338 = 232133791483
BaseRepresentation
bin1111101011011…
…01101100111010
3100011110222100200
413311231230322
5232132140323
621014543030
73154625064
oct765555472
9304428320
10131521338
1168270a23
1238067a76
132132c0a0
1413678734
15b82e443
hex7d6db3a

131521338 has 48 divisors (see below), whose sum is σ = 307900320. Its totient is φ = 40334112.

The previous prime is 131521331. The next prime is 131521361. The reversal of 131521338 is 833125131.

131521338 is a `hidden beast` number, since 131 + 521 + 3 + 3 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (131521331) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87945 + ... + 89427.

It is an arithmetic number, because the mean of its divisors is an integer number (6414590).

Almost surely, 2131521338 is an apocalyptic number.

131521338 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131521338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153950160).

131521338 is an abundant number, since it is smaller than the sum of its proper divisors (176378982).

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

131521338 is a wasteful number, since it uses less digits than its factorization.

131521338 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1883 (or 1880 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 131521338 is about 11468.2752844532. The cubic root of 131521338 is about 508.5481430099.

Adding to 131521338 its reverse (833125131), we get a palindrome (964646469).

The spelling of 131521338 in words is "one hundred thirty-one million, five hundred twenty-one thousand, three hundred thirty-eight".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 379 758 1137 1483 2274 2966 3411 4449 4927 6822 8898 9854 13347 14781 19279 26694 29562 38558 44343 57837 88686 115674 173511 347022 562057 1124114 1686171 3372342 5058513 7306741 10117026 14613482 21920223 43840446 65760669 131521338