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10400861089 is a prime number
BaseRepresentation
bin10011010111111000…
…01000101110100001
3222211212001111011101
421223330020232201
5132300110023324
64440022314401
7515512601113
oct115374105641
928755044141
1010400861089
114458018973
122023288a01
13c99a70998
147094ad3b3
1540d191944
hex26bf08ba1

10400861089 has 2 divisors, whose sum is σ = 10400861090. Its totient is φ = 10400861088.

The previous prime is 10400861087. The next prime is 10400861161. The reversal of 10400861089 is 98016800401.

It is a happy number.

10400861089 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., 5329000000 + 5071861089 = 73000^2 + 71217^2 .

It is a cyclic number.

It is not a de Polignac number, because 10400861089 - 21 = 10400861087 is a prime.

It is a super-2 number, since 2×104008610892 (a number of 21 digits) contains 22 as substring.

Together with 10400861087, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (10400861083) 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, 5200430544 + 5200430545.

It is an arithmetic number, because the mean of its divisors is an integer number (5200430545).

Almost surely, 210400861089 is an apocalyptic number.

It is an amenable number.

10400861089 is a deficient number, since it is larger than the sum of its proper divisors (1).

10400861089 is an equidigital number, since it uses as much as digits as its factorization.

10400861089 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13824, while the sum is 37.

The spelling of 10400861089 in words is "ten billion, four hundred million, eight hundred sixty-one thousand, eighty-nine".