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10172053017 = 327997161947
BaseRepresentation
bin10010111100100110…
…10011011000011001
3222020220111211111100
421132103103120121
5131313021144032
64401210222013
7510034011150
oct113623233031
928226454440
1010172053017
11434a949a95
121b7a724909
13c6153b0a9
146c6d4c597
153e804697c
hex25e4d3619

10172053017 has 24 divisors (see below), whose sum is σ = 16808906816. Its totient is φ = 5806735776.

The previous prime is 10172053007. The next prime is 10172053069. The reversal of 10172053017 is 71035027101.

It is a happy number.

10172053017 is a `hidden beast` number, since 101 + 7 + 20 + 530 + 1 + 7 = 666.

10172053017 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10172053017 - 222 = 10167858713 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10172053007) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 18163 + ... + 143784.

Almost surely, 210172053017 is an apocalyptic number.

It is an amenable number.

10172053017 is a deficient number, since it is larger than the sum of its proper divisors (6636853799).

10172053017 is a wasteful number, since it uses less digits than its factorization.

10172053017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162957 (or 162954 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 27.

The spelling of 10172053017 in words is "ten billion, one hundred seventy-two million, fifty-three thousand, seventeen".

Divisors: 1 3 7 9 21 63 997 2991 6979 8973 20937 62811 161947 485841 1133629 1457523 3400887 10202661 161461159 484383477 1130228113 1453150431 3390684339 10172053017