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111313112319 = 3241301661551
BaseRepresentation
bin110011110101011000…
…1110100110011111111
3101122022121020222211200
41213222301310303333
53310432124043234
6123045254150543
711020304562153
oct1475261646377
9348277228750
10111313112319
1143231393902
12196a6652453
13a65c576246
14555d759063
152d67527d99
hex19eac74cff

111313112319 has 12 divisors (see below), whose sum is σ = 164707207392. Its totient is φ = 72398772000.

The previous prime is 111313112293. The next prime is 111313112399. The reversal of 111313112319 is 913211313111.

111313112319 is a `hidden beast` number, since 1 + 1 + 1 + 31 + 311 + 2 + 319 = 666.

It is not a de Polignac number, because 111313112319 - 28 = 111313112063 is a prime.

It is a super-2 number, since 2×1113131123192 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 111313112292 and 111313112301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111313112399) 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, 150830407 + ... + 150831144.

It is an arithmetic number, because the mean of its divisors is an integer number (13725600616).

Almost surely, 2111313112319 is an apocalyptic number.

111313112319 is a deficient number, since it is larger than the sum of its proper divisors (53394095073).

111313112319 is a wasteful number, since it uses less digits than its factorization.

111313112319 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301661598 (or 301661595 counting only the distinct ones).

The product of its digits is 486, while the sum is 27.

The spelling of 111313112319 in words is "one hundred eleven billion, three hundred thirteen million, one hundred twelve thousand, three hundred nineteen".

Divisors: 1 3 9 41 123 369 301661551 904984653 2714953959 12368123591 37104370773 111313112319