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111361312431 = 3331214162143
BaseRepresentation
bin110011110110110100…
…1101100011010101111
3101122102221221210222000
41213231221230122233
53311031443444211
6123054135223343
711021431352235
oct1475551543257
9348387853860
10111361312431
1143256615306
12196ba817b53
13a669551315
145565d04955
152d6b899656
hex19eda6c6af

111361312431 has 32 divisors (see below), whose sum is σ = 170383933440. Its totient is φ = 71811295200.

The previous prime is 111361312379. The next prime is 111361312477. The reversal of 111361312431 is 134213163111.

111361312431 is a `hidden beast` number, since 1 + 1 + 1 + 3 + 613 + 1 + 2 + 43 + 1 = 666.

It is not a de Polignac number, because 111361312431 - 27 = 111361312303 is a prime.

It is a super-2 number, since 2×1113613124312 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 111361312395 and 111361312404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111361311431) 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 31 ways as a sum of consecutive naturals, for example, 1760946 + ... + 1823088.

It is an arithmetic number, because the mean of its divisors is an integer number (5324497920).

Almost surely, 2111361312431 is an apocalyptic number.

111361312431 is a deficient number, since it is larger than the sum of its proper divisors (59022621009).

111361312431 is a wasteful number, since it uses less digits than its factorization.

111361312431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64324 (or 64318 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

Adding to 111361312431 its reverse (134213163111), we get a palindrome (245574475542).

The spelling of 111361312431 in words is "one hundred eleven billion, three hundred sixty-one million, three hundred twelve thousand, four hundred thirty-one".

Divisors: 1 3 9 27 31 93 279 837 2141 6423 19269 57807 62143 66371 186429 199113 559287 597339 1677861 1792017 1926433 5779299 17337897 52013691 133048163 399144489 1197433467 3592300401 4124493053 12373479159 37120437477 111361312431