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10114131 = 383151269
BaseRepresentation
bin100110100101…
…010001010011
3201000211222110
4212211101103
510042123011
61000440403
7151653156
oct46452123
921024873
1010114131
115788995
123479103
1321317c1
1414b3c9d
15d4bba6
hex9a5453

10114131 has 16 divisors (see below), whose sum is σ = 13789440. Its totient is φ = 6592800.

The previous prime is 10114129. The next prime is 10114141. The reversal of 10114131 is 13141101.

10114131 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10114131 - 21 = 10114129 is a prime.

It is a super-2 number, since 2×101141312 = 204591291770322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10114141) 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, 37465 + ... + 37733.

It is an arithmetic number, because the mean of its divisors is an integer number (861840).

Almost surely, 210114131 is an apocalyptic number.

10114131 is a deficient number, since it is larger than the sum of its proper divisors (3675309).

10114131 is a wasteful number, since it uses less digits than its factorization.

10114131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506.

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

The square root of 10114131 is about 3180.2721581651. The cubic root of 10114131 is about 216.2599964194.

Adding to 10114131 its reverse (13141101), we get a palindrome (23255232).

The spelling of 10114131 in words is "ten million, one hundred fourteen thousand, one hundred thirty-one".

Divisors: 1 3 83 151 249 269 453 807 12533 22327 37599 40619 66981 121857 3371377 10114131