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100404313117 is a prime number
BaseRepresentation
bin101110110000010010…
…0000011110000011101
3100121011100102120120121
41131200210003300131
53121112001004432
6114043004514541
710153053402643
oct1354044036035
9317140376517
10100404313117
1139643687579
121756124ba51
139611501284
144c06a29193
1529299a1197
hex1760903c1d

100404313117 has 2 divisors, whose sum is σ = 100404313118. Its totient is φ = 100404313116.

The previous prime is 100404313111. The next prime is 100404313147. The reversal of 100404313117 is 711313404001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 62027894916 + 38376418201 = 249054^2 + 195899^2 .

It is a cyclic number.

It is not a de Polignac number, because 100404313117 - 23 = 100404313109 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100404313091 and 100404313100.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100404313111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50202156558 + 50202156559.

It is an arithmetic number, because the mean of its divisors is an integer number (50202156559).

Almost surely, 2100404313117 is an apocalyptic number.

It is an amenable number.

100404313117 is a deficient number, since it is larger than the sum of its proper divisors (1).

100404313117 is an equidigital number, since it uses as much as digits as its factorization.

100404313117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1008, while the sum is 25.

Adding to 100404313117 its reverse (711313404001), we get a palindrome (811717717118).

The spelling of 100404313117 in words is "one hundred billion, four hundred four million, three hundred thirteen thousand, one hundred seventeen".