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10144761481 is a prime number
BaseRepresentation
bin10010111001010110…
…01100011010001001
3222012000011021112201
421130223030122021
5131234024331411
64354353240201
7506253023041
oct113453143211
928160137481
1010144761481
1143364a94a8
121b71563061
13c589a3b5a
146c3486721
153e59553c1
hex25cacc689

10144761481 has 2 divisors, whose sum is σ = 10144761482. Its totient is φ = 10144761480.

The previous prime is 10144761479. The next prime is 10144761533. The reversal of 10144761481 is 18416744101.

10144761481 is digitally balanced in base 3, 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., 5773568256 + 4371193225 = 75984^2 + 66115^2 .

It is a cyclic number.

It is not a de Polignac number, because 10144761481 - 21 = 10144761479 is a prime.

It is a super-2 number, since 2×101447614812 (a number of 21 digits) contains 22 as substring.

Together with 10144761479, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 10144761481.

It is not a weakly prime, because it can be changed into another prime (10144761401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5072380740 + 5072380741.

It is an arithmetic number, because the mean of its divisors is an integer number (5072380741).

Almost surely, 210144761481 is an apocalyptic number.

It is an amenable number.

10144761481 is a deficient number, since it is larger than the sum of its proper divisors (1).

10144761481 is an equidigital number, since it uses as much as digits as its factorization.

10144761481 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 21504, while the sum is 37.

The spelling of 10144761481 in words is "ten billion, one hundred forty-four million, seven hundred sixty-one thousand, four hundred eighty-one".