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10144761533 is a prime number
BaseRepresentation
bin10010111001010110…
…01100011010111101
3222012000011021121122
421130223030122331
5131234024332113
64354353240325
7506253023144
oct113453143275
928160137548
1010144761533
1143364a9545
121b715630a5
13c589a3b9a
146c348675b
153e5955408
hex25cacc6bd

10144761533 has 2 divisors, whose sum is σ = 10144761534. Its totient is φ = 10144761532.

The previous prime is 10144761481. The next prime is 10144761553. The reversal of 10144761533 is 33516744101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7622512249 + 2522249284 = 87307^2 + 50222^2 .

It is an emirp because it is prime and its reverse (33516744101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10144761533 - 212 = 10144757437 is a prime.

It is a super-2 number, since 2×101447615332 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10144761493 and 10144761502.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10144761553) 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, 5072380766 + 5072380767.

It is an arithmetic number, because the mean of its divisors is an integer number (5072380767).

Almost surely, 210144761533 is an apocalyptic number.

It is an amenable number.

10144761533 is a deficient number, since it is larger than the sum of its proper divisors (1).

10144761533 is an equidigital number, since it uses as much as digits as its factorization.

10144761533 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 30240, while the sum is 35.

The spelling of 10144761533 in words is "ten billion, one hundred forty-four million, seven hundred sixty-one thousand, five hundred thirty-three".