Search a number
-
+
10201000993 is a prime number
BaseRepresentation
bin10011000000000011…
…01110110000100001
3222022220222112122121
421200001232300201
5131342424012433
64404122504241
7510535035451
oct114001566041
928286875577
1010201000993
114365221037
121b88365081
13c67535281
146cab25d61
153ea863c2d
hex26006ec21

10201000993 has 2 divisors, whose sum is σ = 10201000994. Its totient is φ = 10201000992.

The previous prime is 10201000969. The next prime is 10201001033. The reversal of 10201000993 is 39900010201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10156003729 + 44997264 = 100777^2 + 6708^2 .

It is a cyclic number.

It is not a de Polignac number, because 10201000993 - 213 = 10200992801 is a prime.

It is not a weakly prime, because it can be changed into another prime (10201000913) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5100500496 + 5100500497.

It is an arithmetic number, because the mean of its divisors is an integer number (5100500497).

Almost surely, 210201000993 is an apocalyptic number.

It is an amenable number.

10201000993 is a deficient number, since it is larger than the sum of its proper divisors (1).

10201000993 is an equidigital number, since it uses as much as digits as its factorization.

10201000993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 486, while the sum is 25.

The spelling of 10201000993 in words is "ten billion, two hundred one million, nine hundred ninety-three", and thus it is an aban number.