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10502010034131 = 3711291567698169
BaseRepresentation
bin1001100011010011000010…
…0100111101011111010011
31101011222112010200021112110
42120310300210331133103
52334031104032043011
634200320134200403
72132513412256530
oct230646044753723
941158463607473
1010502010034131
113389971971950
121217439ab3103
135b24488548b5
1428442b29dd87
151332ac26bba6
hex98d3093d7d3

10502010034131 has 32 divisors (see below), whose sum is σ = 18059882918400. Its totient is φ = 5267465844480.

The previous prime is 10502010034121. The next prime is 10502010034157. The reversal of 10502010034131 is 13143001020501.

It is not a de Polignac number, because 10502010034131 - 27 = 10502010034003 is a prime.

It is a super-2 number, since 2×105020100341312 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 10502010034098 and 10502010034107.

It is not an unprimeable number, because it can be changed into a prime (10502010034111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 783842386 + ... + 783855783.

It is an arithmetic number, because the mean of its divisors is an integer number (564371341200).

Almost surely, 210502010034131 is an apocalyptic number.

10502010034131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10502010034131 is a deficient number, since it is larger than the sum of its proper divisors (7557872884269).

10502010034131 is a wasteful number, since it uses less digits than its factorization.

10502010034131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1567698219.

The product of its (nonzero) digits is 360, while the sum is 21.

Adding to 10502010034131 its reverse (13143001020501), we get a palindrome (23645011054632).

The spelling of 10502010034131 in words is "ten trillion, five hundred two billion, ten million, thirty-four thousand, one hundred thirty-one".

Divisors: 1 3 7 11 21 29 33 77 87 203 231 319 609 957 2233 6699 1567698169 4703094507 10973887183 17244679859 32921661549 45463246901 51734039577 120712759013 136389740703 318242728307 362138277039 500095715911 954728184921 1500287147733 3500670011377 10502010034131