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1110111431319 = 3411310296829
BaseRepresentation
bin10000001001110111110…
…011000010101010010111
310221010101120111200220000
4100021313303002222113
5121142002011300234
62205551140342343
7143126411322102
oct20116763025227
93833346450800
101110111431319
11398882a65000
1215b1920a49b3
13808b58ac427
143ba30355739
151dd23520899
hex10277cc2a97

1110111431319 has 40 divisors (see below), whose sum is σ = 1824021653520. Its totient is φ = 672794741520.

The previous prime is 1110111431279. The next prime is 1110111431321. The reversal of 1110111431319 is 9131341110111.

1110111431319 is a `hidden beast` number, since 1 + 110 + 111 + 431 + 3 + 1 + 9 = 666.

It is not a de Polignac number, because 1110111431319 - 28 = 1110111431063 is a prime.

It is a super-2 number, since 2×11101114313192 (a number of 25 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 = 1110111431292 and 1110111431301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1110111431369) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5040604 + ... + 5256225.

It is an arithmetic number, because the mean of its divisors is an integer number (45600541338).

Almost surely, 21110111431319 is an apocalyptic number.

1110111431319 is a deficient number, since it is larger than the sum of its proper divisors (713910222201).

1110111431319 is an equidigital number, since it uses as much as digits as its factorization.

1110111431319 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10296874 (or 10296843 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 27.

The spelling of 1110111431319 in words is "one trillion, one hundred ten billion, one hundred eleven million, four hundred thirty-one thousand, three hundred nineteen".

Divisors: 1 3 9 11 27 33 81 99 121 297 363 891 1089 1331 3267 3993 9801 11979 35937 107811 10296829 30890487 92671461 113265119 278014383 339795357 834043149 1019386071 1245916309 3058158213 3737748927 9174474639 11213246781 13705079399 33639740343 41115238197 100919221029 123345714591 370037143773 1110111431319