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111341134431 = 32113931085863
BaseRepresentation
bin110011110110001110…
…0101110001001011111
3101122101112222122221200
41213230130232021133
53311011312300211
6123052134530543
711021065012242
oct1475434561137
9348345878850
10111341134431
114324619327a
12196b3b06a53
13a665307b87
145563371259
152d69c10b56
hex19ec72e25f

111341134431 has 12 divisors (see below), whose sum is σ = 160840347408. Its totient is φ = 74220839424.

The previous prime is 111341134417. The next prime is 111341134441. The reversal of 111341134431 is 134431143111.

111341134431 is a `hidden beast` number, since 1 + 113 + 4 + 113 + 4 + 431 = 666.

It is a de Polignac number, because none of the positive numbers 2k-111341134431 is a prime.

It is a super-5 number, since 5×1113411344315 (a number of 56 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 111341134395 and 111341134404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111341134441) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 440395 + ... + 645468.

It is an arithmetic number, because the mean of its divisors is an integer number (13403362284).

Almost surely, 2111341134431 is an apocalyptic number.

111341134431 is a deficient number, since it is larger than the sum of its proper divisors (49499212977).

111341134431 is a wasteful number, since it uses less digits than its factorization.

111341134431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1097262 (or 1097259 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

Adding to 111341134431 its reverse (134431143111), we get a palindrome (245772277542).

The spelling of 111341134431 in words is "one hundred eleven billion, three hundred forty-one million, one hundred thirty-four thousand, four hundred thirty-one".

Divisors: 1 3 9 11393 34179 102537 1085863 3257589 9772767 12371237159 37113711477 111341134431