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10500304133 = 112175104669
BaseRepresentation
bin10011100011101110…
…11110110100000101
31000002210011201101002
421301313132310011
5133001034213013
64453533543045
7521131053404
oct116167366405
930083151332
1010500304133
1144a9169a00
122050644a85
13cb454ab17
1471879763b
15416c86358
hex271dded05

10500304133 has 12 divisors (see below), whose sum is σ = 12220579980. Its totient is φ = 8984215680.

The previous prime is 10500304123. The next prime is 10500304147. The reversal of 10500304133 is 33140300501.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 8859892129 + 1640412004 = 94127^2 + 40502^2 .

It is not a de Polignac number, because 10500304133 - 230 = 9426562309 is a prime.

It is a super-2 number, since 2×105003041332 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10500304123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2550278 + ... + 2554391.

It is an arithmetic number, because the mean of its divisors is an integer number (1018381665).

Almost surely, 210500304133 is an apocalyptic number.

It is an amenable number.

10500304133 is a deficient number, since it is larger than the sum of its proper divisors (1720275847).

10500304133 is a wasteful number, since it uses less digits than its factorization.

10500304133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5104708 (or 5104697 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

Adding to 10500304133 its reverse (33140300501), we get a palindrome (43640604634).

The spelling of 10500304133 in words is "ten billion, five hundred million, three hundred four thousand, one hundred thirty-three".

Divisors: 1 11 17 121 187 2057 5104669 56151359 86779373 617664949 954573103 10500304133