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131113314 = 2327284073
BaseRepresentation
bin1111101000010…
…10000101100010
3100010201020122200
413310022011202
5232031111224
621002114030
73151305363
oct764120542
9303636580
10131113314
1168012412
1237aab916
1321218457
14135adb6a
15b79d5c9
hex7d0a162

131113314 has 12 divisors (see below), whose sum is σ = 284078886. Its totient is φ = 43704432.

The previous prime is 131113303. The next prime is 131113349. The reversal of 131113314 is 413311131.

It can be written as a sum of positive squares in only one way, i.e., 110565225 + 20548089 = 10515^2 + 4533^2 .

It is a super-2 number, since 2×1311133142 = 34381402216125192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 7284073 = 131113314 / (1 + 3 + 1 + 1 + 1 + 3 + 3 + 1 + 4).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3642019 + ... + 3642054.

Almost surely, 2131113314 is an apocalyptic number.

131113314 is an abundant number, since it is smaller than the sum of its proper divisors (152965572).

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

131113314 is a wasteful number, since it uses less digits than its factorization.

131113314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7284081 (or 7284078 counting only the distinct ones).

The product of its digits is 108, while the sum is 18.

The square root of 131113314 is about 11450.4722173367. The cubic root of 131113314 is about 508.0217016996.

Adding to 131113314 its reverse (413311131), we get a palindrome (544424445).

The spelling of 131113314 in words is "one hundred thirty-one million, one hundred thirteen thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 7284073 14568146 21852219 43704438 65556657 131113314