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102126525641 = 724214950629
BaseRepresentation
bin101111100011100110…
…1110001110011001001
3100202121101002001000122
41133013031301303021
53133123342310031
6114525525513025
710243535100500
oct1370715616311
9322541061018
10102126525641
113a347841308
1217961b72775
13982725703a
144d2b653837
1529cac9147b
hex17c7371cc9

102126525641 has 12 divisors (see below), whose sum is σ = 119082454020. Its totient is φ = 87329077920.

The previous prime is 102126525637. The next prime is 102126525661. The reversal of 102126525641 is 146525621201.

It can be written as a sum of positive squares in 2 ways, for example, as 54489098041 + 47637427600 = 233429^2 + 218260^2 .

It is not a de Polignac number, because 102126525641 - 22 = 102126525637 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102126525661) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2454686 + ... + 2495943.

It is an arithmetic number, because the mean of its divisors is an integer number (9923537835).

Almost surely, 2102126525641 is an apocalyptic number.

It is an amenable number.

102126525641 is a deficient number, since it is larger than the sum of its proper divisors (16955928379).

102126525641 is an equidigital number, since it uses as much as digits as its factorization.

102126525641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4951064 (or 4951057 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 35.

The spelling of 102126525641 in words is "one hundred two billion, one hundred twenty-six million, five hundred twenty-five thousand, six hundred forty-one".

Divisors: 1 7 49 421 2947 20629 4950629 34654403 242580821 2084214809 14589503663 102126525641