Search a number
-
+
100210113001 is a prime number
BaseRepresentation
bin101110101010011111…
…1001111100111101001
3100120122211000012002201
41131110333033213221
53120212242104001
6114011430300201
710145204622565
oct1352477174751
9316584005081
10100210113001
1139553aa6109
12175081b7661
1395b01c7b6b
144bc8d166a5
1529178e0501
hex1754fcf9e9

100210113001 has 2 divisors, whose sum is σ = 100210113002. Its totient is φ = 100210113000.

The previous prime is 100210112999. The next prime is 100210113007. The reversal of 100210113001 is 100311012001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 68342507776 + 31867605225 = 261424^2 + 178515^2 .

It is a cyclic number.

It is not a de Polignac number, because 100210113001 - 21 = 100210112999 is a prime.

Together with 100210112999, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (100210113007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50105056500 + 50105056501.

It is an arithmetic number, because the mean of its divisors is an integer number (50105056501).

Almost surely, 2100210113001 is an apocalyptic number.

It is an amenable number.

100210113001 is a deficient number, since it is larger than the sum of its proper divisors (1).

100210113001 is an equidigital number, since it uses as much as digits as its factorization.

100210113001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 100210113001 its reverse (100311012001), we get a palindrome (200521125002).

The spelling of 100210113001 in words is "one hundred billion, two hundred ten million, one hundred thirteen thousand, one".