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100102410413 is a prime number
BaseRepresentation
bin101110100111010010…
…0011001000010101101
3100120101022100022220222
41131032210121002231
53120002204113123
6113553022021125
710142426310065
oct1351644310255
9316338308828
10100102410413
11394a9223605
12174981177a5
139593ab8415
144bb88bc3a5
15290d2186c8
hex174e9190ad

100102410413 has 2 divisors, whose sum is σ = 100102410414. Its totient is φ = 100102410412.

The previous prime is 100102410391. The next prime is 100102410449. The reversal of 100102410413 is 314014201001.

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., 100057077124 + 45333289 = 316318^2 + 6733^2 .

It is a cyclic number.

It is not a de Polignac number, because 100102410413 - 218 = 100102148269 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100102410391 and 100102410400.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100102410913) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50051205206 + 50051205207.

It is an arithmetic number, because the mean of its divisors is an integer number (50051205207).

Almost surely, 2100102410413 is an apocalyptic number.

It is an amenable number.

100102410413 is a deficient number, since it is larger than the sum of its proper divisors (1).

100102410413 is an equidigital number, since it uses as much as digits as its factorization.

100102410413 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 100102410413 its reverse (314014201001), we get a palindrome (414116611414).

The spelling of 100102410413 in words is "one hundred billion, one hundred two million, four hundred ten thousand, four hundred thirteen".