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10506362134 = 2171109278639
BaseRepresentation
bin10011100100011101…
…00101110100010110
31000010012120111101111
421302032211310112
5133004112042014
64454311445234
7521233414252
oct116216456426
930105514344
1010506362134
114501627414
12205268681a
13cb588c338
147194d3262
154175812c4
hex2723a5d16

10506362134 has 16 divisors (see below), whose sum is σ = 16701681600. Its totient is φ = 4939694464.

The previous prime is 10506362123. The next prime is 10506362159. The reversal of 10506362134 is 43126360501.

10506362134 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105063621342 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10506362096 and 10506362105.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 101614 + ... + 177025.

It is an arithmetic number, because the mean of its divisors is an integer number (1043855100).

Almost surely, 210506362134 is an apocalyptic number.

10506362134 is a deficient number, since it is larger than the sum of its proper divisors (6195319466).

10506362134 is a wasteful number, since it uses less digits than its factorization.

10506362134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279767.

The product of its (nonzero) digits is 12960, while the sum is 31.

The spelling of 10506362134 in words is "ten billion, five hundred six million, three hundred sixty-two thousand, one hundred thirty-four".

Divisors: 1 2 17 34 1109 2218 18853 37706 278639 557278 4736863 9473726 309010651 618021302 5253181067 10506362134