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131101314 = 23175212467
BaseRepresentation
bin1111101000001…
…11001010000010
3100010200122012020
413310013022002
5232030220224
621001542310
73151225401
oct764071202
9303618166
10131101314
11680043a3
1237aa4996
1321212b56
14135a9638
15b799c79
hex7d07282

131101314 has 32 divisors (see below), whose sum is σ = 278271936. Its totient is φ = 41034240.

The previous prime is 131101309. The next prime is 131101339. The reversal of 131101314 is 413101131.

It is a junction number, because it is equal to n+sod(n) for n = 131101293 and 131101302.

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, 51909 + ... + 54375.

It is an arithmetic number, because the mean of its divisors is an integer number (8695998).

Almost surely, 2131101314 is an apocalyptic number.

131101314 is an abundant number, since it is smaller than the sum of its proper divisors (147170622).

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

131101314 is a wasteful number, since it uses less digits than its factorization.

131101314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3010.

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 131101314 is about 11449.9482094899. The cubic root of 131101314 is about 508.0062025200.

Adding to 131101314 its reverse (413101131), we get a palindrome (544202445).

The spelling of 131101314 in words is "one hundred thirty-one million, one hundred one thousand, three hundred fourteen".

Divisors: 1 2 3 6 17 34 51 102 521 1042 1563 2467 3126 4934 7401 8857 14802 17714 26571 41939 53142 83878 125817 251634 1285307 2570614 3855921 7711842 21850219 43700438 65550657 131101314