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112101320975 = 5271928321379
BaseRepresentation
bin110100001100111000…
…0100110100100001111
3101201100112102010211212
41220121300212210033
53314040414232400
6123255412205035
711045655335450
oct1503160464417
9351315363755
10112101320975
11435a6300716
121988660977b
13a75695b0b7
1455d62d5127
152db1821335
hex1a19c2690f

112101320975 has 72 divisors (see below), whose sum is σ = 169692888960. Its totient is φ = 71942955840.

The previous prime is 112101320959. The next prime is 112101321019. The reversal of 112101320975 is 579023101211.

It is a happy number.

It is not a de Polignac number, because 112101320975 - 24 = 112101320959 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5232836 + ... + 5254214.

It is an arithmetic number, because the mean of its divisors is an integer number (2356845680).

Almost surely, 2112101320975 is an apocalyptic number.

112101320975 is a deficient number, since it is larger than the sum of its proper divisors (57591567985).

112101320975 is a wasteful number, since it uses less digits than its factorization.

112101320975 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21517 (or 21493 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 32.

The spelling of 112101320975 in words is "one hundred twelve billion, one hundred one million, three hundred twenty thousand, nine hundred seventy-five".

Divisors: 1 5 7 19 25 35 83 95 133 175 361 415 475 581 665 1577 1805 2075 2527 2905 3325 7885 9025 11039 12635 14525 21379 29963 39425 55195 63175 106895 149653 149815 209741 275975 406201 534475 748265 749075 1048705 1774457 2031005 2843407 3741325 5243525 7717819 8872285 10155025 12421199 14217035 33714683 38589095 44361425 54024733 62105995 71085175 168573415 192945475 236002781 270123665 310529975 640578977 842867075 1180013905 1350618325 3202894885 4484052839 5900069525 16014474425 22420264195 112101320975