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114613160013 = 321117142347857
BaseRepresentation
bin110101010111101111…
…0100000100001001101
3101221211120212210020100
41222233132200201031
53334211432110023
6124352541441313
711165135533362
oct1525736404115
9357746783210
10114613160013
1144675160550
121a267870239
13aa671741a1
145793b48469
152eac0d9c43
hex1aaf7a084d

114613160013 has 48 divisors (see below), whose sum is σ = 191364615936. Its totient is φ = 65329182720.

The previous prime is 114613159981. The next prime is 114613160027. The reversal of 114613160013 is 310061316411.

114613160013 is a `hidden beast` number, since 1 + 1 + 46 + 1 + 3 + 1 + 600 + 13 = 666.

It is not a de Polignac number, because 114613160013 - 25 = 114613159981 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114613160513) 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 47 ways as a sum of consecutive naturals, for example, 2370981 + ... + 2418837.

It is an arithmetic number, because the mean of its divisors is an integer number (3986762832).

Almost surely, 2114613160013 is an apocalyptic number.

It is an amenable number.

114613160013 is a deficient number, since it is larger than the sum of its proper divisors (76751455923).

114613160013 is a wasteful number, since it uses less digits than its factorization.

114613160013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49314 (or 49311 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

Adding to 114613160013 its reverse (310061316411), we get a palindrome (424674476424).

The spelling of 114613160013 in words is "one hundred fourteen billion, six hundred thirteen million, one hundred sixty thousand, thirteen".

Divisors: 1 3 9 11 17 33 51 99 153 187 561 1423 1683 4269 12807 15653 24191 46959 47857 72573 140877 143571 217719 266101 430713 526427 798303 813569 1579281 2394909 2440707 4737843 7322121 8949259 26847777 68100511 80543331 204301533 612904599 749105621 1157708687 2247316863 3473126061 6741950589 10419378183 12734795557 38204386671 114613160013