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114331050431 = 13319712892269
BaseRepresentation
bin110101001111010101…
…0010110000110111111
3101221002221001010122022
41222132222112012333
53333122222103211
6124304543110355
711155141615433
oct1523652260677
9357087033568
10114331050431
114453a996434
121a1a92a23bb
13aa2089b540
1457684b09c3
152e92461bdb
hex1a9ea961bf

114331050431 has 32 divisors (see below), whose sum is σ = 128564083200. Its totient is φ = 100956119040.

The previous prime is 114331050409. The next prime is 114331050469. The reversal of 114331050431 is 134050133411.

It is a cyclic number.

It is not a de Polignac number, because 114331050431 - 214 = 114331034047 is a prime.

It is a super-2 number, since 2×1143310504312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 114331050431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114331050401) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50387165 + ... + 50389433.

It is an arithmetic number, because the mean of its divisors is an integer number (4017627600).

Almost surely, 2114331050431 is an apocalyptic number.

114331050431 is a deficient number, since it is larger than the sum of its proper divisors (14233032769).

114331050431 is a wasteful number, since it uses less digits than its factorization.

114331050431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3699.

The product of its (nonzero) digits is 2160, while the sum is 26.

Adding to 114331050431 its reverse (134050133411), we get a palindrome (248381183842).

The spelling of 114331050431 in words is "one hundred fourteen billion, three hundred thirty-one million, fifty thousand, four hundred thirty-one".

Divisors: 1 13 31 97 403 1261 1289 2269 3007 16757 29497 39091 39959 70339 125033 220093 519467 914407 1625429 2861209 2924741 3876023 6822883 38021633 50388299 88697479 90666971 283699877 1178670623 3688098401 8794696187 114331050431