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10113131 = 74759521
BaseRepresentation
bin100110100101…
…000001101011
3201000210121102
4212211001223
510042110011
61000432015
7151650230
oct46450153
921023542
1010113131
115788166
12347860b
132131202
1414b3787
15d4b73b
hex9a506b

10113131 has 16 divisors (see below), whose sum is σ = 12026880. Its totient is φ = 8324160.

The previous prime is 10113121. The next prime is 10113143. The reversal of 10113131 is 13131101.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10113131 is a prime.

It is a super-2 number, since 2×101131312 = 204550837246322, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10113121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19151 + ... + 19671.

It is an arithmetic number, because the mean of its divisors is an integer number (751680).

Almost surely, 210113131 is an apocalyptic number.

10113131 is a deficient number, since it is larger than the sum of its proper divisors (1913749).

10113131 is an equidigital number, since it uses as much as digits as its factorization.

10113131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634.

The product of its (nonzero) digits is 9, while the sum is 11.

The square root of 10113131 is about 3180.1149350299. The cubic root of 10113131 is about 216.2528688628.

Adding to 10113131 its reverse (13131101), we get a palindrome (23244232).

It can be divided in two parts, 101 and 13131, that multiplied together give a palindrome (1326231).

The spelling of 10113131 in words is "ten million, one hundred thirteen thousand, one hundred thirty-one".

Divisors: 1 7 47 59 329 413 521 2773 3647 19411 24487 30739 171409 215173 1444733 10113131