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112814009949 = 3192239883963
BaseRepresentation
bin110100100010000111…
…1010010111001011101
3101210012012110111022210
41221010033102321131
53322020341304244
6123454231431033
711102431156044
oct1510417227135
9353165414283
10112814009949
1143931627473
1219a45225479
13a83b4c0c54
145662c1355b
152e0419d4b9
hex1a443d2e5d

112814009949 has 16 divisors (see below), whose sum is σ = 158406348800. Its totient is φ = 71219050416.

The previous prime is 112814009921. The next prime is 112814009977. The reversal of 112814009949 is 949900418211.

It is an interprime number because it is at equal distance from previous prime (112814009921) and next prime (112814009977).

It is not a de Polignac number, because 112814009949 - 216 = 112813944413 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 112814009898 and 112814009907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112814109949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 314359 + ... + 569604.

It is an arithmetic number, because the mean of its divisors is an integer number (9900396800).

Almost surely, 2112814009949 is an apocalyptic number.

112814009949 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

112814009949 is a deficient number, since it is larger than the sum of its proper divisors (45592338851).

112814009949 is a wasteful number, since it uses less digits than its factorization.

112814009949 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 886224.

The product of its (nonzero) digits is 186624, while the sum is 48.

The spelling of 112814009949 in words is "one hundred twelve billion, eight hundred fourteen million, nine thousand, nine hundred forty-nine".

Divisors: 1 3 19 57 2239 6717 42541 127623 883963 2651889 16795297 50385891 1979193157 5937579471 37604669983 112814009949