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10242323013 = 3131727775563
BaseRepresentation
bin10011000100111110…
…10111001001000101
3222102210201220210210
421202133113021011
5131434013314023
64412200310033
7511546211016
oct114237271105
928383656723
1010242323013
11438658496a
121b9a172319
13c72c72780
146d240100d
153ee2c7593
hex2627d7245

10242323013 has 32 divisors (see below), whose sum is σ = 15580446336. Its totient is φ = 5929003008.

The previous prime is 10242323011. The next prime is 10242323057. The reversal of 10242323013 is 31032324201.

10242323013 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 10242323013 - 21 = 10242323011 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10242323011) 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, 1838370 + ... + 1843932.

It is an arithmetic number, because the mean of its divisors is an integer number (486888948).

Almost surely, 210242323013 is an apocalyptic number.

10242323013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10242323013 is a deficient number, since it is larger than the sum of its proper divisors (5338123323).

10242323013 is a wasteful number, since it uses less digits than its factorization.

10242323013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8373.

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 10242323013 its reverse (31032324201), we get a palindrome (41274647214).

The spelling of 10242323013 in words is "ten billion, two hundred forty-two million, three hundred twenty-three thousand, thirteen".

Divisors: 1 3 13 17 39 51 221 663 2777 5563 8331 16689 36101 47209 72319 94571 108303 141627 216957 283713 613717 1229423 1841151 3688269 15448451 46345353 200829863 262623667 602489589 787871001 3414107671 10242323013