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10006061077 is a prime number
BaseRepresentation
bin10010101000110100…
…00110000000010101
3221211100011120100201
421110122012000111
5130443022423302
64332520340501
7502650054505
oct112432060025
927740146321
1010006061077
114275184871
121b33014731
13c360301cc
146acc9da05
153d86a8c87
hex254686015

10006061077 has 2 divisors, whose sum is σ = 10006061078. Its totient is φ = 10006061076.

The previous prime is 10006061003. The next prime is 10006061083. The reversal of 10006061077 is 77016060001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8305405956 + 1700655121 = 91134^2 + 41239^2 .

It is a cyclic number.

It is not a de Polignac number, because 10006061077 - 27 = 10006060949 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10006061477) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5003030538 + 5003030539.

It is an arithmetic number, because the mean of its divisors is an integer number (5003030539).

Almost surely, 210006061077 is an apocalyptic number.

It is an amenable number.

10006061077 is a deficient number, since it is larger than the sum of its proper divisors (1).

10006061077 is an equidigital number, since it uses as much as digits as its factorization.

10006061077 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1764, while the sum is 28.

The spelling of 10006061077 in words is "ten billion, six million, sixty-one thousand, seventy-seven".