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20442756133 is a prime number
BaseRepresentation
bin10011000010011110…
…111011010000100101
31221202200122121111001
4103002132323100211
5313331321144013
613220303113301
71322406363052
oct230236732045
957680577431
1020442756133
118740448288
123b662a2831
131c0a339407
14dbd01a029
157e9a77ddd
hex4c27bb425

20442756133 has 2 divisors, whose sum is σ = 20442756134. Its totient is φ = 20442756132.

The previous prime is 20442756097. The next prime is 20442756179. The reversal of 20442756133 is 33165724402.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 19950715009 + 492041124 = 141247^2 + 22182^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-20442756133 is a prime.

It is a super-2 number, since 2×204427561332 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20442756092 and 20442756101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20442756533) 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, 10221378066 + 10221378067.

It is an arithmetic number, because the mean of its divisors is an integer number (10221378067).

Almost surely, 220442756133 is an apocalyptic number.

It is an amenable number.

20442756133 is a deficient number, since it is larger than the sum of its proper divisors (1).

20442756133 is an equidigital number, since it uses as much as digits as its factorization.

20442756133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 120960, while the sum is 37.

The spelling of 20442756133 in words is "twenty billion, four hundred forty-two million, seven hundred fifty-six thousand, one hundred thirty-three".