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10654740101 is a prime number
BaseRepresentation
bin10011110110001001…
…00110111010000101
31000111112202212200202
421323010212322011
5133310103140401
64521132020245
7525014540135
oct117304467205
930445685622
1010654740101
114578360a35
122094301685
13100a540b55
147310b8ac5
154255e006b
hex27b126e85

10654740101 has 2 divisors, whose sum is σ = 10654740102. Its totient is φ = 10654740100.

The previous prime is 10654740097. The next prime is 10654740119. The reversal of 10654740101 is 10104745601.

10654740101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8878539076 + 1776201025 = 94226^2 + 42145^2 .

It is an emirp because it is prime and its reverse (10104745601) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10654740101 - 22 = 10654740097 is a prime.

It is a super-2 number, since 2×106547401012 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10654740301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5327370050 + 5327370051.

It is an arithmetic number, because the mean of its divisors is an integer number (5327370051).

Almost surely, 210654740101 is an apocalyptic number.

It is an amenable number.

10654740101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10654740101 is an equidigital number, since it uses as much as digits as its factorization.

10654740101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3360, while the sum is 29.

The spelling of 10654740101 in words is "ten billion, six hundred fifty-four million, seven hundred forty thousand, one hundred one".