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10507961299 = 114143212601
BaseRepresentation
bin10011100100101001…
…01100001111010011
31000010022120202000211
421302110230033103
5133010014230144
64454410024551
7521253124453
oct116224541723
930108522024
1010507961299
114502519940
122053118157
13cb5ccc1a4
147197cbd63
1541779a034
hex27252c3d3

10507961299 has 24 divisors (see below), whose sum is σ = 12023215344. Its totient is φ = 9102240000.

The previous prime is 10507961293. The next prime is 10507961323. The reversal of 10507961299 is 99216970501.

10507961299 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-10507961299 is a prime.

It is a super-2 number, since 2×105079612992 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10507961293) 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 23 ways as a sum of consecutive naturals, for example, 827599 + ... + 840199.

It is an arithmetic number, because the mean of its divisors is an integer number (500967306).

Almost surely, 210507961299 is an apocalyptic number.

10507961299 is a deficient number, since it is larger than the sum of its proper divisors (1515254045).

10507961299 is a wasteful number, since it uses less digits than its factorization.

10507961299 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12739 (or 12696 counting only the distinct ones).

The product of its (nonzero) digits is 306180, while the sum is 49.

The spelling of 10507961299 in words is "ten billion, five hundred seven million, nine hundred sixty-one thousand, two hundred ninety-nine".

Divisors: 1 11 41 43 451 473 1763 1849 12601 19393 20339 75809 138611 516641 541843 833899 5683051 5960273 22215563 23299249 244371193 256291739 955269209 10507961299