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233314141132111 = 13238332291116317
BaseRepresentation
bin110101000011001010101110…
…100000001101010101001111
31010121002121120122120001200111
4311003022232200031111033
5221040104330112211421
62144115011534540451
7100100250626566054
oct6503125640152517
91117077518501614
10233314141132111
1168382a76200216
1222201a15967727
13a025576981200
14418867113d02b
151be908247aee1
hexd432ae80d54f

233314141132111 has 24 divisors (see below), whose sum is σ = 253380252142080. Its totient is φ = 214737867916416.

The previous prime is 233314141132103. The next prime is 233314141132133. The reversal of 233314141132111 is 111231141413332.

It is not a de Polignac number, because 233314141132111 - 23 = 233314141132103 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233314141132211) 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, 208445325 + ... + 209561641.

It is an arithmetic number, because the mean of its divisors is an integer number (10557510505920).

Almost surely, 2233314141132111 is an apocalyptic number.

233314141132111 is a deficient number, since it is larger than the sum of its proper divisors (20066111009969).

233314141132111 is a wasteful number, since it uses less digits than its factorization.

233314141132111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1119955 (or 1119942 counting only the distinct ones).

The product of its digits is 5184, while the sum is 31.

Adding to 233314141132111 its reverse (111231141413332), we get a palindrome (344545282545443).

The spelling of 233314141132111 in words is "two hundred thirty-three trillion, three hundred fourteen billion, one hundred forty-one million, one hundred thirty-two thousand, one hundred eleven".

Divisors: 1 13 169 383 3229 4979 41977 64727 545701 1116317 1236707 14512121 16077191 188657573 209003483 427549411 3604587593 5558142343 46859638709 72255850459 609175303217 1380557048119 17947241625547 233314141132111