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10105131 = 319177283
BaseRepresentation
bin100110100011…
…000100101011
3201000101122010
4212203010223
510041331011
61000331003
7151615011
oct46430453
921011563
1010105131
115782153
123473a63
13212a68a
1414b08b1
15d491a6
hex9a312b

10105131 has 8 divisors (see below), whose sum is σ = 14182720. Its totient is φ = 6382152.

The previous prime is 10105097. The next prime is 10105133. The reversal of 10105131 is 13150101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a de Polignac number, because none of the positive numbers 2k-10105131 is a prime.

It is a super-3 number, since 3×101051313 (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10105133) 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 7 ways as a sum of consecutive naturals, for example, 88585 + ... + 88698.

It is an arithmetic number, because the mean of its divisors is an integer number (1772840).

Almost surely, 210105131 is an apocalyptic number.

10105131 is a deficient number, since it is larger than the sum of its proper divisors (4077589).

10105131 is a wasteful number, since it uses less digits than its factorization.

10105131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177305.

The product of its (nonzero) digits is 15, while the sum is 12.

The square root of 10105131 is about 3178.8568700085. The cubic root of 10105131 is about 216.1958314880.

Adding to 10105131 its reverse (13150101), we get a palindrome (23255232).

The spelling of 10105131 in words is "ten million, one hundred five thousand, one hundred thirty-one".

Divisors: 1 3 19 57 177283 531849 3368377 10105131