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114014222013 = 31929683100987
BaseRepresentation
bin110101000101111000…
…1101111011010111101
3101220021211212120202110
41222023301233122331
53332000120101023
6124213304244233
711144243616426
oct1521361573275
9356254776673
10114014222013
114439806856a
121a11b170679
13a9a005aac3
14573839a64d
152e7472ba93
hex1a8bc6f6bd

114014222013 has 32 divisors (see below), whose sum is σ = 165781900800. Its totient is φ = 69423431616.

The previous prime is 114014222009. The next prime is 114014222041. The reversal of 114014222013 is 310222410411.

It is not a de Polignac number, because 114014222013 - 22 = 114014222009 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114014222053) 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 31 ways as a sum of consecutive naturals, for example, 1078506 + ... + 1179492.

It is an arithmetic number, because the mean of its divisors is an integer number (5180684400).

Almost surely, 2114014222013 is an apocalyptic number.

It is an amenable number.

114014222013 is a deficient number, since it is larger than the sum of its proper divisors (51767678787).

114014222013 is a wasteful number, since it uses less digits than its factorization.

114014222013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101721.

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 114014222013 its reverse (310222410411), we get a palindrome (424236632424).

The spelling of 114014222013 in words is "one hundred fourteen billion, fourteen million, two hundred twenty-two thousand, thirteen".

Divisors: 1 3 19 29 57 87 551 683 1653 2049 12977 19807 38931 59421 100987 302961 376333 1128999 1918753 2928623 5756259 8785869 55643837 68974121 166931511 206922363 1310508299 2000249509 3931524897 6000748527 38004740671 114014222013