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100313013193 is a prime number
BaseRepresentation
bin101110101101100011…
…1110001101111001001
3100120220222122001121221
41131123013301233021
53120420112410233
6114025544002041
710150564354261
oct1353307615711
9316828561557
10100313013193
11395a7098598
1217536760321
1395c8615753
144bd88607a1
15292196942d
hex175b1f1bc9

100313013193 has 2 divisors, whose sum is σ = 100313013194. Its totient is φ = 100313013192.

The previous prime is 100313013179. The next prime is 100313013221. The reversal of 100313013193 is 391310313001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 91402219584 + 8910793609 = 302328^2 + 94397^2 .

It is a cyclic number.

It is not a de Polignac number, because 100313013193 - 25 = 100313013161 is a prime.

It is not a weakly prime, because it can be changed into another prime (100313013103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50156506596 + 50156506597.

It is an arithmetic number, because the mean of its divisors is an integer number (50156506597).

Almost surely, 2100313013193 is an apocalyptic number.

It is an amenable number.

100313013193 is a deficient number, since it is larger than the sum of its proper divisors (1).

100313013193 is an equidigital number, since it uses as much as digits as its factorization.

100313013193 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 729, while the sum is 25.

Adding to 100313013193 its reverse (391310313001), we get a palindrome (491623326194).

The spelling of 100313013193 in words is "one hundred billion, three hundred thirteen million, thirteen thousand, one hundred ninety-three".