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100520065071 = 3313128419583
BaseRepresentation
bin101110110011101110…
…1100111100000101111
3100121110102020101102000
41131213131213200233
53121331114040241
6114102301503343
710155660312126
oct1354735474057
9317412211360
10100520065071
11396a2a57748
1217593b71b53
13962c49b75a
144c1815aabd
152934c17eb6
hex176776782f

100520065071 has 16 divisors (see below), whose sum is σ = 150055403520. Its totient is φ = 66501821880.

The previous prime is 100520065027. The next prime is 100520065081. The reversal of 100520065071 is 170560025001.

100520065071 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 2 + 0 + 0 + 650 + 7 + 1 = 666.

It is not a de Polignac number, because 100520065071 - 29 = 100520064559 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100520065081) 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 15 ways as a sum of consecutive naturals, for example, 14206255 + ... + 14213328.

It is an arithmetic number, because the mean of its divisors is an integer number (9378462720).

Almost surely, 2100520065071 is an apocalyptic number.

100520065071 is a deficient number, since it is larger than the sum of its proper divisors (49535338449).

100520065071 is a wasteful number, since it uses less digits than its factorization.

100520065071 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28419723 (or 28419717 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The spelling of 100520065071 in words is "one hundred billion, five hundred twenty million, sixty-five thousand, seventy-one".

Divisors: 1 3 9 27 131 393 1179 3537 28419583 85258749 255776247 767328741 3722965373 11168896119 33506688357 100520065071