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10002131 = 101167593
BaseRepresentation
bin100110001001…
…111011010011
3200211011100022
4212021323103
510030032011
6554214055
7151005506
oct46117323
920734308
1010002131
115711827
12342432b
1320c2829
14148513d
15d288db
hex989ed3

10002131 has 8 divisors (see below), whose sum is σ = 10178784. Its totient is φ = 9827200.

The previous prime is 10002127. The next prime is 10002133. The reversal of 10002131 is 13120001.

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

It is a cyclic number.

It is not a de Polignac number, because 10002131 - 22 = 10002127 is a prime.

It is a super-2 number, since 2×100021312 = 200085249082322, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10002133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16571 + ... + 17163.

It is an arithmetic number, because the mean of its divisors is an integer number (1272348).

Almost surely, 210002131 is an apocalyptic number.

10002131 is a deficient number, since it is larger than the sum of its proper divisors (176653).

10002131 is a wasteful number, since it uses less digits than its factorization.

10002131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 861.

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 10002131 is about 3162.6145829045. The cubic root of 10002131 is about 215.4587715840.

Adding to 10002131 its reverse (13120001), we get a palindrome (23122132).

The spelling of 10002131 in words is "ten million, two thousand, one hundred thirty-one".

Divisors: 1 101 167 593 16867 59893 99031 10002131