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10084105693 is a prime number
BaseRepresentation
bin10010110010000111…
…10011110111011101
3222000210000122110001
421121003303313131
5131123012340233
64344345214301
7504615325024
oct113103636735
928023018401
1010084105693
11430523a952
121b55191391
13c4925755c
146b93b78bb
153e047327d
hex2590f3ddd

10084105693 has 2 divisors, whose sum is σ = 10084105694. Its totient is φ = 10084105692.

The previous prime is 10084105687. The next prime is 10084105709. The reversal of 10084105693 is 39650148001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9332139609 + 751966084 = 96603^2 + 27422^2 .

It is a cyclic number.

It is not a de Polignac number, because 10084105693 - 213 = 10084097501 is a prime.

It is a super-3 number, since 3×100841056933 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10084105193) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5042052846 + 5042052847.

It is an arithmetic number, because the mean of its divisors is an integer number (5042052847).

Almost surely, 210084105693 is an apocalyptic number.

It is an amenable number.

10084105693 is a deficient number, since it is larger than the sum of its proper divisors (1).

10084105693 is an equidigital number, since it uses as much as digits as its factorization.

10084105693 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 25920, while the sum is 37.

The spelling of 10084105693 in words is "ten billion, eighty-four million, one hundred five thousand, six hundred ninety-three".