Search a number
-
+
10901000101 is a prime number
BaseRepresentation
bin10100010011100000…
…00000111110100101
31001010201011011220111
422021300000332211
5134311124000401
65001410133021
7534064654255
oct121160007645
931121134814
1010901000101
11469436a7a2
122142881171
131049574124
14755a9d965
1543c035e51
hex289c00fa5

10901000101 has 2 divisors, whose sum is σ = 10901000102. Its totient is φ = 10901000100.

The previous prime is 10901000069. The next prime is 10901000111. The reversal of 10901000101 is 10100010901.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8022784900 + 2878215201 = 89570^2 + 53649^2 .

It is an emirp because it is prime and its reverse (10100010901) is a distict prime. It is also a bemirp because it and its reverse can be mirrored producing other two distinct primes, 10100010601 and 10601000101.

It is a cyclic number.

It is not a de Polignac number, because 10901000101 - 25 = 10901000069 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10901000111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5450500050 + 5450500051.

It is an arithmetic number, because the mean of its divisors is an integer number (5450500051).

Almost surely, 210901000101 is an apocalyptic number.

It is an amenable number.

10901000101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10901000101 is an equidigital number, since it uses as much as digits as its factorization.

10901000101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9, while the sum is 13.

The spelling of 10901000101 in words is "ten billion, nine hundred one million, one hundred one", and thus it is an aban number.