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113400004311 = 32116271182659
BaseRepresentation
bin110100110011100101…
…0101011111011010111
3101211201001010002110200
41221213022223323113
53324220400114221
6124032323351543
711123105063316
oct1514712537327
9354631102420
10113400004311
1144102389730
1219b895225b3
13a902a24989
1456ba99227d
152e3a851426
hex1a672abed7

113400004311 has 24 divisors (see below), whose sum is σ = 178720389120. Its totient is φ = 68715939600.

The previous prime is 113400004261. The next prime is 113400004327.

113400004311 is a `hidden beast` number, since 11 + 340 + 0 + 0 + 0 + 4 + 311 = 666.

113400004311 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 113400004311 - 210 = 113400003287 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113400004351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 529500 + ... + 712158.

It is an arithmetic number, because the mean of its divisors is an integer number (7446682880).

Almost surely, 2113400004311 is an apocalyptic number.

113400004311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

113400004311 is a deficient number, since it is larger than the sum of its proper divisors (65320384809).

113400004311 is a wasteful number, since it uses less digits than its factorization.

113400004311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188947 (or 188944 counting only the distinct ones).

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

It can be divided in two parts, 11340000 and 4311, that added together give a palindrome (11344311).

The spelling of 113400004311 in words is "one hundred thirteen billion, four hundred million, four thousand, three hundred eleven".

Divisors: 1 3 9 11 33 99 6271 18813 56439 68981 182659 206943 547977 620829 1643931 2009249 6027747 18083241 1145454589 3436363767 10309091301 12600000479 37800001437 113400004311