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100332212257 is a prime number
BaseRepresentation
bin101110101110001000…
…1000001000000100001
3100120222022202110210101
41131130101001000201
53120440021243012
6114031511302401
710151216506234
oct1353421010041
9316868673711
10100332212257
1139606a11092
121754107aa01
1395cc5a8444
144bdb21b41b
1529234acd57
hex175c441021

100332212257 has 2 divisors, whose sum is σ = 100332212258. Its totient is φ = 100332212256.

The previous prime is 100332212219. The next prime is 100332212273. The reversal of 100332212257 is 752212233001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 56470868496 + 43861343761 = 237636^2 + 209431^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-100332212257 is a prime.

It is not a weakly prime, because it can be changed into another prime (100332222257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50166106128 + 50166106129.

It is an arithmetic number, because the mean of its divisors is an integer number (50166106129).

Almost surely, 2100332212257 is an apocalyptic number.

It is an amenable number.

100332212257 is a deficient number, since it is larger than the sum of its proper divisors (1).

100332212257 is an equidigital number, since it uses as much as digits as its factorization.

100332212257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5040, while the sum is 28.

Adding to 100332212257 its reverse (752212233001), we get a palindrome (852544445258).

The spelling of 100332212257 in words is "one hundred billion, three hundred thirty-two million, two hundred twelve thousand, two hundred fifty-seven".