Search a number
-
+
113040100431 = 3214298789371
BaseRepresentation
bin110100101000110110…
…1110000110001001111
3101210202221220002011100
41221101231300301033
53323001231203211
6123532505354143
711111145000006
oct1512155606117
9353687802140
10113040100431
1143a3820a605
1219aa8a98953
13a8762b18bb
145684c67c3d
152e18e5d156
hex1a51b70c4f

113040100431 has 12 divisors (see below), whose sum is σ = 163394425480. Its totient is φ = 75307322160.

The previous prime is 113040100429. The next prime is 113040100451. The reversal of 113040100431 is 134001040311.

113040100431 is a `hidden beast` number, since 1 + 130 + 4 + 0 + 100 + 431 = 666.

It is not a de Polignac number, because 113040100431 - 21 = 113040100429 is a prime.

It is a super-3 number, since 3×1130401004313 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113040100421) 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 11 ways as a sum of consecutive naturals, for example, 4381825 + ... + 4407546.

Almost surely, 2113040100431 is an apocalyptic number.

113040100431 is a deficient number, since it is larger than the sum of its proper divisors (50354325049).

113040100431 is a wasteful number, since it uses less digits than its factorization.

113040100431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8790806 (or 8790803 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 113040100431 its reverse (134001040311), we get a palindrome (247041140742).

The spelling of 113040100431 in words is "one hundred thirteen billion, forty million, one hundred thousand, four hundred thirty-one".

Divisors: 1 3 9 1429 4287 12861 8789371 26368113 79104339 12560011159 37680033477 113040100431