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10104032133 = 321386359249
BaseRepresentation
bin10010110100011111…
…10100101110000101
3222002011112000101100
421122033310232011
5131143113012013
64350340250313
7505246566426
oct113217645605
928064460340
1010104032133
11431550a988
121b5b9a0999
13c50413350
146bbcc364d
153e20ac473
hex25a3f4b85

10104032133 has 12 divisors (see below), whose sum is σ = 15717383500. Its totient is φ = 6217865856.

The previous prime is 10104032077. The next prime is 10104032143. The reversal of 10104032133 is 33123040101.

It can be written as a sum of positive squares in 2 ways, for example, as 2693921409 + 7410110724 = 51903^2 + 86082^2 .

It is not a de Polignac number, because 10104032133 - 212 = 10104028037 is a prime.

It is a super-3 number, since 3×101040321333 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10104032143) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43179508 + ... + 43179741.

Almost surely, 210104032133 is an apocalyptic number.

10104032133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10104032133 is a deficient number, since it is larger than the sum of its proper divisors (5613351367).

10104032133 is a wasteful number, since it uses less digits than its factorization.

10104032133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86359268 (or 86359265 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10104032133 its reverse (33123040101), we get a palindrome (43227072234).

The spelling of 10104032133 in words is "ten billion, one hundred four million, thirty-two thousand, one hundred thirty-three".

Divisors: 1 3 9 13 39 117 86359249 259077747 777233241 1122670237 3368010711 10104032133