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100404274801 is a prime number
BaseRepresentation
bin101110110000010001…
…1111010011001110001
3100121011100100122000111
41131200203322121301
53121111443243201
6114043004021321
710153053153145
oct1354043723161
9317140318014
10100404274801
1139643660806
1217561231841
1396114b99bc
144c06a19225
152929994b51
hex17608fa671

100404274801 has 2 divisors, whose sum is σ = 100404274802. Its totient is φ = 100404274800.

The previous prime is 100404274793. The next prime is 100404274811. The reversal of 100404274801 is 108472404001.

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., 75919536225 + 24484738576 = 275535^2 + 156476^2 .

It is a cyclic number.

It is not a de Polignac number, because 100404274801 - 23 = 100404274793 is a prime.

It is not a weakly prime, because it can be changed into another prime (100404274811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50202137400 + 50202137401.

It is an arithmetic number, because the mean of its divisors is an integer number (50202137401).

Almost surely, 2100404274801 is an apocalyptic number.

It is an amenable number.

100404274801 is a deficient number, since it is larger than the sum of its proper divisors (1).

100404274801 is an equidigital number, since it uses as much as digits as its factorization.

100404274801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7168, while the sum is 31.

Adding to 100404274801 its reverse (108472404001), we get a palindrome (208876678802).

The spelling of 100404274801 in words is "one hundred billion, four hundred four million, two hundred seventy-four thousand, eight hundred one".