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9913131 = 33571643
BaseRepresentation
bin100101110100…
…001100101011
3200122122021000
4211310030223
510014210011
6552250043
7150155154
oct45641453
920578230
109913131
115660978
1233a0923
132091177
14146092b
15d0c356
hex97432b

9913131 has 16 divisors (see below), whose sum is σ = 14734720. Its totient is φ = 6586920.

The previous prime is 9913129. The next prime is 9913133. The reversal of 9913131 is 1313199.

9913131 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (9913129) and next prime (9913133).

It is not a de Polignac number, because 9913131 - 21 = 9913129 is a prime.

It is a super-2 number, since 2×99131312 = 196540332446322, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 9913095 and 9913104.

It is not an unprimeable number, because it can be changed into a prime (9913133) 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, 15096 + ... + 15738.

It is an arithmetic number, because the mean of its divisors is an integer number (920920).

Almost surely, 29913131 is an apocalyptic number.

9913131 is a deficient number, since it is larger than the sum of its proper divisors (4821589).

9913131 is a wasteful number, since it uses less digits than its factorization.

9913131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1223 (or 1217 counting only the distinct ones).

The product of its digits is 729, while the sum is 27.

The square root of 9913131 is about 3148.5125059304. The cubic root of 9913131 is about 214.8178085169.

The spelling of 9913131 in words is "nine million, nine hundred thirteen thousand, one hundred thirty-one".

Divisors: 1 3 9 27 571 643 1713 1929 5139 5787 15417 17361 367153 1101459 3304377 9913131