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10042524111 = 3531272112357
BaseRepresentation
bin10010101101001010…
…01100000111001111
3221220212210002020110
421112211030013033
5131031341232421
64340302051103
7503602021644
oct112645140717
927825702213
1010042524111
11429381a004
121b43279a93
13c40758b79
146b3a71dcb
153db9aca76
hex25694c1cf

10042524111 has 32 divisors (see below), whose sum is σ = 13821124608. Its totient is φ = 6483335040.

The previous prime is 10042524103. The next prime is 10042524131. The reversal of 10042524111 is 11142524001.

10042524111 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 10042524111 - 23 = 10042524103 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10042524131) 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 31 ways as a sum of consecutive naturals, for example, 4259545 + ... + 4261901.

It is an arithmetic number, because the mean of its divisors is an integer number (431910144).

Almost surely, 210042524111 is an apocalyptic number.

10042524111 is a deficient number, since it is larger than the sum of its proper divisors (3778600497).

10042524111 is a wasteful number, since it uses less digits than its factorization.

10042524111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2751.

The product of its (nonzero) digits is 320, while the sum is 21.

The spelling of 10042524111 in words is "ten billion, forty-two million, five hundred twenty-four thousand, one hundred eleven".

Divisors: 1 3 53 127 159 211 381 633 2357 6731 7071 11183 20193 26797 33549 80391 124921 299339 374763 497327 898017 1420241 1491981 4260723 15864967 26358331 47594901 63160529 79074993 189481587 3347508037 10042524111