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10045031377 is a prime number
BaseRepresentation
bin10010101101011101…
…10000001111010001
3221221001111110120011
421112232300033101
5131033012001002
64340431514521
7503632233523
oct112656601721
927831443504
1010045031377
114295181827
121b44088a41
13c41126164
146b4125a13
153dbd058d7
hex256bb03d1

10045031377 has 2 divisors, whose sum is σ = 10045031378. Its totient is φ = 10045031376.

The previous prime is 10045031357. The next prime is 10045031441. The reversal of 10045031377 is 77313054001.

10045031377 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., 6350336721 + 3694694656 = 79689^2 + 60784^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10045031377 is a prime.

It is a super-2 number, since 2×100450313772 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10045031357) 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, 5022515688 + 5022515689.

It is an arithmetic number, because the mean of its divisors is an integer number (5022515689).

Almost surely, 210045031377 is an apocalyptic number.

It is an amenable number.

10045031377 is a deficient number, since it is larger than the sum of its proper divisors (1).

10045031377 is an equidigital number, since it uses as much as digits as its factorization.

10045031377 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8820, while the sum is 31.

Adding to 10045031377 its reverse (77313054001), we get a palindrome (87358085378).

The spelling of 10045031377 in words is "ten billion, forty-five million, thirty-one thousand, three hundred seventy-seven".