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10202112131 = 171095505727
BaseRepresentation
bin10011000000001011…
…11110000010000011
3222100000001222211212
421200011332002003
5131343220042011
64404202400335
7510550344101
oct114005760203
928300058755
1010202112131
11436590a932
121b888000ab
13c67833c53
146cad34c71
153ea9d308b
hex26017e083

10202112131 has 8 divisors (see below), whose sum is σ = 10901341440. Its totient is φ = 9513894528.

The previous prime is 10202112113. The next prime is 10202112133. The reversal of 10202112131 is 13121120201.

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 10202112131 - 210 = 10202111107 is a prime.

It is a super-2 number, since 2×102021121312 (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 (10202112133) 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, 2751011 + ... + 2754716.

It is an arithmetic number, because the mean of its divisors is an integer number (1362667680).

Almost surely, 210202112131 is an apocalyptic number.

10202112131 is a deficient number, since it is larger than the sum of its proper divisors (699229309).

10202112131 is a wasteful number, since it uses less digits than its factorization.

10202112131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5505853.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 10202112131 its reverse (13121120201), we get a palindrome (23323232332).

The spelling of 10202112131 in words is "ten billion, two hundred two million, one hundred twelve thousand, one hundred thirty-one".

Divisors: 1 17 109 1853 5505727 93597359 600124243 10202112131