Search a number
-
+
10000202131 = 231074063471
BaseRepresentation
bin10010101000000111…
…01111100110010011
3221210221010220101201
421110003233212103
5130440022432011
64332151012031
7502546213153
oct112403574623
927727126351
1010000202131
114271942967
121b3106a017
13c34a5b48a
146ac1b6763
153d7deccc1
hex2540ef993

10000202131 has 8 divisors (see below), whose sum is σ = 10532519424. Its totient is φ = 9476012040.

The previous prime is 10000202119. The next prime is 10000202159. The reversal of 10000202131 is 13120200001.

10000202131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 10000202131 - 211 = 10000200083 is a prime.

It is a super-2 number, since 2×100002021312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10000202101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2029275 + ... + 2034196.

It is an arithmetic number, because the mean of its divisors is an integer number (1316564928).

Almost surely, 210000202131 is an apocalyptic number.

10000202131 is a deficient number, since it is larger than the sum of its proper divisors (532317293).

10000202131 is a wasteful number, since it uses less digits than its factorization.

10000202131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4063601.

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 10000202131 its reverse (13120200001), we get a palindrome (23120402132).

The spelling of 10000202131 in words is "ten billion, two hundred two thousand, one hundred thirty-one".

Divisors: 1 23 107 2461 4063471 93459833 434791397 10000202131