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10084064401 is a prime number
BaseRepresentation
bin10010110010000111…
…01001110010010001
3222000202221112210201
421121003221302101
5131123010030101
64344344255201
7504615063445
oct113103516221
928022845721
1010084064401
114305211924
121b55171501
13c49241818
146b93a6825
153e0465e01
hex2590e9c91

10084064401 has 2 divisors, whose sum is σ = 10084064402. Its totient is φ = 10084064400.

The previous prime is 10084064399. The next prime is 10084064407. The reversal of 10084064401 is 10446048001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8267173776 + 1816890625 = 90924^2 + 42625^2 .

It is an emirp because it is prime and its reverse (10446048001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10084064401 - 21 = 10084064399 is a prime.

Together with 10084064399, 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 10084064401.

It is not a weakly prime, because it can be changed into another prime (10084064407) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5042032200 + 5042032201.

It is an arithmetic number, because the mean of its divisors is an integer number (5042032201).

Almost surely, 210084064401 is an apocalyptic number.

It is an amenable number.

10084064401 is a deficient number, since it is larger than the sum of its proper divisors (1).

10084064401 is an equidigital number, since it uses as much as digits as its factorization.

10084064401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3072, while the sum is 28.

The spelling of 10084064401 in words is "ten billion, eighty-four million, sixty-four thousand, four hundred one".