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120100057 = 7114573413
BaseRepresentation
bin1110010100010…
…01010011011001
322100222201022021
413022021103121
5221221200212
615530054441
72655555640
oct712112331
9270881267
10120100057
116187aa50
123427a421
131bb6062c
1411d44357
15a825307
hex72894d9

120100057 has 16 divisors (see below), whose sum is σ = 150106752. Its totient is φ = 93352320.

The previous prime is 120100051. The next prime is 120100061. The reversal of 120100057 is 750001021.

It is a cyclic number.

It is not a de Polignac number, because 120100057 - 27 = 120099929 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 120100057.

It is not an unprimeable number, because it can be changed into a prime (120100051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33483 + ... + 36895.

It is an arithmetic number, because the mean of its divisors is an integer number (9381672).

Almost surely, 2120100057 is an apocalyptic number.

It is an amenable number.

120100057 is a deficient number, since it is larger than the sum of its proper divisors (30006695).

120100057 is a wasteful number, since it uses less digits than its factorization.

120100057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3888.

The product of its (nonzero) digits is 70, while the sum is 16.

The square root of 120100057 is about 10959.0171548365. The cubic root of 120100057 is about 493.3794666601.

Adding to 120100057 its reverse (750001021), we get a palindrome (870101078).

The spelling of 120100057 in words is "one hundred twenty million, one hundred thousand, fifty-seven".

Divisors: 1 7 11 77 457 3199 3413 5027 23891 35189 37543 262801 1559741 10918187 17157151 120100057