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10502520643131 = 311318258201307
BaseRepresentation
bin1001100011010100111100…
…0000110001111000111011
31101012000211201110220101220
42120311033000301320323
52334033130241040011
634200442534243123
72132532152340516
oct230651700617073
941160751426356
1010502520643131
11338a104114a60
121217560ab64a3
135b24ca5827ba
14284479017d7d
151332dbecd506
hex98d4f031e3b

10502520643131 has 8 divisors (see below), whose sum is σ = 15276393662784. Its totient is φ = 6365164026120.

The previous prime is 10502520643127. The next prime is 10502520643151. The reversal of 10502520643131 is 13134602520501.

10502520643131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 10502520643131 - 22 = 10502520643127 is a prime.

It is a super-2 number, since 2×105025206431312 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33), and also a Moran number because the ratio is a prime number: 318258201307 = 10502520643131 / (1 + 0 + 5 + 0 + 2 + 5 + 2 + 0 + 6 + 4 + 3 + 1 + 3 + 1).

It is a junction number, because it is equal to n+sod(n) for n = 10502520643092 and 10502520643101.

It is not an unprimeable number, because it can be changed into a prime (10502520643151) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 159129100621 + ... + 159129100686.

It is an arithmetic number, because the mean of its divisors is an integer number (1909549207848).

Almost surely, 210502520643131 is an apocalyptic number.

10502520643131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10502520643131 is a deficient number, since it is larger than the sum of its proper divisors (4773873019653).

10502520643131 is a wasteful number, since it uses less digits than its factorization.

10502520643131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318258201321.

The product of its (nonzero) digits is 21600, while the sum is 33.

The spelling of 10502520643131 in words is "ten trillion, five hundred two billion, five hundred twenty million, six hundred forty-three thousand, one hundred thirty-one".

Divisors: 1 3 11 33 318258201307 954774603921 3500840214377 10502520643131