Search a number
-
+
133310021010097 is a prime number
BaseRepresentation
bin11110010011111010101000…
…011100101000001010110001
3122111000022110120111122112011
4132103322220130220022301
5114433122410334310342
61151305440031402521
740036221411110131
oct3623725034501261
9574008416448464
10133310021010097
113952750a525428
1212b50460383441
135950109079259
1424cc34d068ac1
151062a76109717
hex793ea87282b1

133310021010097 has 2 divisors, whose sum is σ = 133310021010098. Its totient is φ = 133310021010096.

The previous prime is 133310021010079. The next prime is 133310021010143. The reversal of 133310021010097 is 790010120013331.

Together with previous prime (133310021010079) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 120254055213681 + 13055965796416 = 10966041^2 + 3613304^2 .

It is a cyclic number.

It is not a de Polignac number, because 133310021010097 - 27 = 133310021009969 is a prime.

It is not a weakly prime, because it can be changed into another prime (133310021010017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66655010505048 + 66655010505049.

It is an arithmetic number, because the mean of its divisors is an integer number (66655010505049).

Almost surely, 2133310021010097 is an apocalyptic number.

It is an amenable number.

133310021010097 is a deficient number, since it is larger than the sum of its proper divisors (1).

133310021010097 is an equidigital number, since it uses as much as digits as its factorization.

133310021010097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3402, while the sum is 31.

The spelling of 133310021010097 in words is "one hundred thirty-three trillion, three hundred ten billion, twenty-one million, ten thousand, ninety-seven".