Search a number
-
+
10120404131 = 191375696833
BaseRepresentation
bin10010110110011100…
…10001110010100011
3222010022022210112122
421123032101302203
5131211310413011
64352123214455
7505536005255
oct113316216243
928108283478
1010120404131
114323782462
121b6537742b
13c53926316
146c0145cd5
153e37433db
hex25b391ca3

10120404131 has 16 divisors (see below), whose sum is σ = 10751248800. Its totient is φ = 9499650048.

The previous prime is 10120404127. The next prime is 10120404221. The reversal of 10120404131 is 13140402101.

It is a happy number.

10120404131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10120404131 - 22 = 10120404127 is a prime.

It is a super-2 number, since 2×101204041312 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10120484131) 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 15 ways as a sum of consecutive naturals, for example, 1477691 + ... + 1484523.

It is an arithmetic number, because the mean of its divisors is an integer number (671953050).

Almost surely, 210120404131 is an apocalyptic number.

10120404131 is a deficient number, since it is larger than the sum of its proper divisors (630844669).

10120404131 is a wasteful number, since it uses less digits than its factorization.

10120404131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7558.

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 10120404131 its reverse (13140402101), we get a palindrome (23260806232).

The spelling of 10120404131 in words is "ten billion, one hundred twenty million, four hundred four thousand, one hundred thirty-one".

Divisors: 1 19 137 569 2603 6833 10811 77953 129827 936121 1481107 3887977 17786299 73871563 532652849 10120404131