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10422132513 = 3133167312809
BaseRepresentation
bin10011011010011010…
…10001111100100001
3222220100002012001220
421231031101330201
5132321031220023
64442102245253
7516161443662
oct115515217441
928810065056
1010422132513
114469027461
12202a426829
13ca12aaa20
1470c249369
1540ee943e3
hex26d351f21

10422132513 has 32 divisors (see below), whose sum is σ = 15472020480. Its totient is φ = 6197022720.

The previous prime is 10422132481. The next prime is 10422132517. The reversal of 10422132513 is 31523122401.

10422132513 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 10422132513 - 25 = 10422132481 is a prime.

It is a super-2 number, since 2×104221325132 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10422132517) 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, 807253 + ... + 820061.

It is an arithmetic number, because the mean of its divisors is an integer number (483500640).

Almost surely, 210422132513 is an apocalyptic number.

10422132513 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10422132513 is a deficient number, since it is larger than the sum of its proper divisors (5049887967).

10422132513 is a wasteful number, since it uses less digits than its factorization.

10422132513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13529.

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 10422132513 its reverse (31523122401), we get a palindrome (41945254914).

The spelling of 10422132513 in words is "ten billion, four hundred twenty-two million, one hundred thirty-two thousand, five hundred thirteen".

Divisors: 1 3 13 31 39 93 403 673 1209 2019 8749 12809 20863 26247 38427 62589 166517 271219 397079 499551 813657 1191237 5162027 8620457 15486081 25861371 112065941 267234167 336197823 801702501 3474044171 10422132513