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111345093431 = 1113778637017
BaseRepresentation
bin110011110110010101…
…1110100101100110111
3101122101211102210200022
41213230223310230313
53311013320442211
6123052355435355
711021143451435
oct1475453645467
9348354383608
10111345093431
1143248447780
12196b52b5b5b
13a666092b90
145563ac1d55
152d6a243bdb
hex19ecaf4b37

111345093431 has 8 divisors (see below), whose sum is σ = 130811019024. Its totient is φ = 93436441920.

The previous prime is 111345093421. The next prime is 111345093439. The reversal of 111345093431 is 134390543111.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-111345093431 is a prime.

It is a super-2 number, since 2×1113450934312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 111345093391 and 111345093400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111345093439) 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 7 ways as a sum of consecutive naturals, for example, 389318366 + ... + 389318651.

It is an arithmetic number, because the mean of its divisors is an integer number (16351377378).

Almost surely, 2111345093431 is an apocalyptic number.

111345093431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

111345093431 is a deficient number, since it is larger than the sum of its proper divisors (19465925593).

111345093431 is a wasteful number, since it uses less digits than its factorization.

111345093431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778637041.

The product of its (nonzero) digits is 19440, while the sum is 35.

The spelling of 111345093431 in words is "one hundred eleven billion, three hundred forty-five million, ninety-three thousand, four hundred thirty-one".

Divisors: 1 11 13 143 778637017 8565007187 10122281221 111345093431