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100406636513 is a prime number
BaseRepresentation
bin101110110000010110…
…0111010111111100001
3100121011111210121200022
41131200230322333201
53121113044332023
6114043130403225
710153112220461
oct1354054727741
9317144717608
10100406636513
1139644a24137
1217561b90515
139611b35971
144c07071ba1
152929cae7c8
hex1760b3afe1

100406636513 has 2 divisors, whose sum is σ = 100406636514. Its totient is φ = 100406636512.

The previous prime is 100406636507. The next prime is 100406636543. The reversal of 100406636513 is 315636604001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 94905892624 + 5500743889 = 308068^2 + 74167^2 .

It is a cyclic number.

It is not a de Polignac number, because 100406636513 - 24 = 100406636497 is a prime.

It is not a weakly prime, because it can be changed into another prime (100406636543) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50203318256 + 50203318257.

It is an arithmetic number, because the mean of its divisors is an integer number (50203318257).

Almost surely, 2100406636513 is an apocalyptic number.

It is an amenable number.

100406636513 is a deficient number, since it is larger than the sum of its proper divisors (1).

100406636513 is an equidigital number, since it uses as much as digits as its factorization.

100406636513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 38880, while the sum is 35.

The spelling of 100406636513 in words is "one hundred billion, four hundred six million, six hundred thirty-six thousand, five hundred thirteen".