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111431041119 = 336167656977
BaseRepresentation
bin110011111000111001…
…1101100000001011111
3101122121211011101202000
41213301303230001133
53311202321303434
6123105105533343
711023236135666
oct1476163540137
9348554141660
10111431041119
1143291a10522
121971a044253
13a67ab264b8
145571295ddd
152d72a6eb99
hex19f1cec05f

111431041119 has 16 divisors (see below), whose sum is σ = 167789305440. Its totient is φ = 73069534080.

The previous prime is 111431041109. The next prime is 111431041129. The reversal of 111431041119 is 911140134111.

It is a happy number.

111431041119 is a `hidden beast` number, since 111 + 431 + 0 + 4 + 1 + 119 = 666.

It is an interprime number because it is at equal distance from previous prime (111431041109) and next prime (111431041129).

It is not a de Polignac number, because 111431041119 - 212 = 111431037023 is a prime.

It is a super-2 number, since 2×1114310411192 (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 = 111431041092 and 111431041101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111431041109) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33826842 + ... + 33830135.

It is an arithmetic number, because the mean of its divisors is an integer number (10486831590).

Almost surely, 2111431041119 is an apocalyptic number.

111431041119 is a deficient number, since it is larger than the sum of its proper divisors (56358264321).

111431041119 is an equidigital number, since it uses as much as digits as its factorization.

111431041119 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67657047 (or 67657041 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 27.

The spelling of 111431041119 in words is "one hundred eleven billion, four hundred thirty-one million, forty-one thousand, one hundred nineteen".

Divisors: 1 3 9 27 61 183 549 1647 67656977 202970931 608912793 1826738379 4127075597 12381226791 37143680373 111431041119