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110978752157 = 72133113142901
BaseRepresentation
bin110011101011011011…
…0010101111010011101
3101121110022002201220222
41213112312111322131
53304241030032112
6122552151451125
711006104554200
oct1472666257235
9347408081828
10110978752157
114307a681099
1219612686aa5
13a6082079b0
14552b19d937
152d47ecd372
hex19d6d95e9d

110978752157 has 48 divisors (see below), whose sum is σ = 144612002304. Its totient is φ = 84324240000.

The previous prime is 110978752123. The next prime is 110978752169. The reversal of 110978752157 is 751257879011.

It is not a de Polignac number, because 110978752157 - 210 = 110978751133 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 110978752099 and 110978752108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110978752957) 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 47 ways as a sum of consecutive naturals, for example, 2565407 + ... + 2608307.

It is an arithmetic number, because the mean of its divisors is an integer number (3012750048).

Almost surely, 2110978752157 is an apocalyptic number.

It is an amenable number.

110978752157 is a deficient number, since it is larger than the sum of its proper divisors (33633250147).

110978752157 is a wasteful number, since it uses less digits than its factorization.

110978752157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43090 (or 43083 counting only the distinct ones).

The product of its (nonzero) digits is 1234800, while the sum is 53.

The spelling of 110978752157 in words is "one hundred ten billion, nine hundred seventy-eight million, seven hundred fifty-two thousand, one hundred fifty-seven".

Divisors: 1 7 13 31 49 91 131 217 403 637 917 1519 1703 2821 4061 6419 11921 19747 28427 42901 52793 83447 198989 300307 369551 557713 1329931 2102149 2586857 3903991 5620031 9309517 17289103 27327937 39340217 65166619 73060403 121023721 174220961 275381519 511422821 847166047 1219546727 2264872493 3579959747 8536827089 15854107451 110978752157