Search a number
-
+
113406604311 = 371113162123297
BaseRepresentation
bin110100110011110001…
…1110111010000010111
3101211201111112101222010
41221213203313100113
53324224042314221
6124033121035303
711123215142310
oct1514743672027
9354644471863
10113406604311
1144106087380
1219b8b785b33
13a9041c5ac0
1456bb7cd607
152e3b206c76
hex1a678f7417

113406604311 has 64 divisors (see below), whose sum is σ = 203155577856. Its totient is φ = 54344908800.

The previous prime is 113406604309. The next prime is 113406604379.

113406604311 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 113406604311 - 21 = 113406604309 is a prime.

It is a super-2 number, since 2×1134066043112 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113406604511) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4856215 + ... + 4879511.

It is an arithmetic number, because the mean of its divisors is an integer number (3174305904).

Almost surely, 2113406604311 is an apocalyptic number.

113406604311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

113406604311 is a deficient number, since it is larger than the sum of its proper divisors (89748973545).

113406604311 is a wasteful number, since it uses less digits than its factorization.

113406604311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24952.

The product of its (nonzero) digits is 5184, while the sum is 30.

It can be divided in two parts, 113406 and 604311, that added together give a palindrome (717717).

The spelling of 113406604311 in words is "one hundred thirteen billion, four hundred six million, six hundred four thousand, three hundred eleven".

Divisors: 1 3 7 11 13 21 33 39 77 91 143 231 273 429 1001 1621 3003 4863 11347 17831 21073 23297 34041 53493 63219 69891 124817 147511 163079 231803 256267 302861 374451 442533 489237 695409 768801 908583 1622621 1793869 2120027 3331471 4867863 5381607 6360081 9994413 23320297 37764437 69960891 113293311 264351059 415408807 490937681 793053177 1246226421 1472813043 2907861649 3436563767 5400314491 8723584947 10309691301 16200943473 37802201437 113406604311