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10042134063 = 3138916191787
BaseRepresentation
bin10010101101000111…
…01100111000101111
3221220212001021012020
421112203230320233
5131031241242223
64340245441223
7503565505533
oct112643547057
927825037166
1010042134063
114293582a55
121b43110213
13c40650480
146b39adbc3
153db9321e3
hex2568ece2f

10042134063 has 32 divisors (see below), whose sum is σ = 14598662400. Its totient is φ = 6103147776.

The previous prime is 10042134023. The next prime is 10042134083. The reversal of 10042134063 is 36043124001.

It is not a de Polignac number, because 10042134063 - 28 = 10042133807 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10042134023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5618656 + ... + 5620442.

It is an arithmetic number, because the mean of its divisors is an integer number (456208200).

Almost surely, 210042134063 is an apocalyptic number.

10042134063 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

10042134063 is a deficient number, since it is larger than the sum of its proper divisors (4556528337).

10042134063 is a wasteful number, since it uses less digits than its factorization.

10042134063 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3511.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 10042134063 its reverse (36043124001), we get a palindrome (46085258064).

The spelling of 10042134063 in words is "ten billion, forty-two million, one hundred thirty-four thousand, sixty-three".

Divisors: 1 3 13 39 89 267 1157 1619 1787 3471 4857 5361 21047 23231 63141 69693 144091 159043 432273 477129 1873183 2067559 2893153 5619549 6202677 8679459 37610989 112832967 257490617 772471851 3347378021 10042134063