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101064641053 is a prime number
BaseRepresentation
bin101111000011111101…
…1000000101000011101
3100122212100221201012211
41132013323000220131
53123440022003203
6114232314000421
710205322163165
oct1360773005035
9318770851184
10101064641053
113995239a742
1217706416111
1396b826016c
144c6a5d75a5
152967938c6d
hex1787ec0a1d

101064641053 has 2 divisors, whose sum is σ = 101064641054. Its totient is φ = 101064641052.

The previous prime is 101064641039. The next prime is 101064641057. The reversal of 101064641053 is 350146460101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 73607488249 + 27457152804 = 271307^2 + 165702^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-101064641053 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101064641057) 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 as a sum of consecutive naturals, namely, 50532320526 + 50532320527.

It is an arithmetic number, because the mean of its divisors is an integer number (50532320527).

Almost surely, 2101064641053 is an apocalyptic number.

It is an amenable number.

101064641053 is a deficient number, since it is larger than the sum of its proper divisors (1).

101064641053 is an equidigital number, since it uses as much as digits as its factorization.

101064641053 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8640, while the sum is 31.

The spelling of 101064641053 in words is "one hundred one billion, sixty-four million, six hundred forty-one thousand, fifty-three".