Search a number
-
+
2113202312131 = 234368314992087
BaseRepresentation
bin11110110000000100101…
…011000101001111000011
321111000112200222010202011
4132300010223011033003
5234110314242442011
64254443003233351
7305450060165341
oct36600453051703
97430480863664
102113202312131
11745227683449
122a1677218857
1312437432c311
14743cb0a0991
1539e812cd621
hex1ec04ac53c3

2113202312131 has 32 divisors (see below), whose sum is σ = 2262256128000. Its totient is φ = 1969166611104.

The previous prime is 2113202312129. The next prime is 2113202312147. The reversal of 2113202312131 is 1312132023112.

It is a cyclic number.

It is not a de Polignac number, because 2113202312131 - 21 = 2113202312129 is a prime.

It is a super-2 number, since 2×21132023121312 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2113202342131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1012553970 + ... + 1012556056.

It is an arithmetic number, because the mean of its divisors is an integer number (70695504000).

Almost surely, 22113202312131 is an apocalyptic number.

2113202312131 is a deficient number, since it is larger than the sum of its proper divisors (149053815869).

2113202312131 is a wasteful number, since it uses less digits than its factorization.

2113202312131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4335.

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 2113202312131 its reverse (1312132023112), we get a palindrome (3425334335243).

The spelling of 2113202312131 in words is "two trillion, one hundred thirteen billion, two hundred two million, three hundred twelve thousand, one hundred thirty-one".

Divisors: 1 23 43 683 989 1499 2087 15709 29369 34477 48001 64457 89741 675487 1023817 1425421 1482511 2064043 3128413 23547791 32784683 44024131 61293103 71953499 134521759 1012555013 1409741369 2136706079 3094000457 49144239817 91878361397 2113202312131