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100414214497 is a prime number
BaseRepresentation
bin101110110000100100…
…1110101000101100001
3100121012001001121201101
41131201021311011201
53121122014330442
6114044001034401
710153233511642
oct1354111650541
9317161047641
10100414214497
113964922a633
1217564625a01
139613589c8c
144c080856c9
15292a7a9cb7
hex1761275161

100414214497 has 2 divisors, whose sum is σ = 100414214498. Its totient is φ = 100414214496.

The previous prime is 100414214491. The next prime is 100414214569. The reversal of 100414214497 is 794412414001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 55367972416 + 45046242081 = 235304^2 + 212241^2 .

It is an emirp because it is prime and its reverse (794412414001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100414214497 - 223 = 100405825889 is a prime.

It is not a weakly prime, because it can be changed into another prime (100414214491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50207107248 + 50207107249.

It is an arithmetic number, because the mean of its divisors is an integer number (50207107249).

Almost surely, 2100414214497 is an apocalyptic number.

It is an amenable number.

100414214497 is a deficient number, since it is larger than the sum of its proper divisors (1).

100414214497 is an equidigital number, since it uses as much as digits as its factorization.

100414214497 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32256, while the sum is 37.

Adding to 100414214497 its reverse (794412414001), we get a palindrome (894826628498).

The spelling of 100414214497 in words is "one hundred billion, four hundred fourteen million, two hundred fourteen thousand, four hundred ninety-seven".