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10113120311 = 741277712689
BaseRepresentation
bin10010110101100100…
…11111100000110111
3222002210121202000112
421122302133200313
5131202424322221
64351303133235
7505420050530
oct113262374067
928083552015
1010113120311
11431a657a78
121b62a4421b
13c52275b78
146bd1ab687
153e2ca515b
hex25ac9f837

10113120311 has 16 divisors (see below), whose sum is σ = 11844947520. Its totient is φ = 8453253120.

The previous prime is 10113120287. The next prime is 10113120343. The reversal of 10113120311 is 11302131101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 10113120311 - 210 = 10113119287 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10113120371) 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 15 ways as a sum of consecutive naturals, for example, 790655 + ... + 803343.

It is an arithmetic number, because the mean of its divisors is an integer number (740309220).

Almost surely, 210113120311 is an apocalyptic number.

10113120311 is a deficient number, since it is larger than the sum of its proper divisors (1731827209).

10113120311 is a wasteful number, since it uses less digits than its factorization.

10113120311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15514.

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 10113120311 its reverse (11302131101), we get a palindrome (21415251412).

The spelling of 10113120311 in words is "ten billion, one hundred thirteen million, one hundred twenty thousand, three hundred eleven".

Divisors: 1 7 41 287 2777 12689 19439 88823 113857 520249 796999 3641743 35237353 246661471 1444731473 10113120311