Search a number
-
+
101332332473 is a prime number
BaseRepresentation
bin101111001011111100…
…0001010111110111001
3100200120000122211210212
41132113320022332321
53130012034114343
6114315035320505
710215052420511
oct1362770127671
9320500584725
10101332332473
1139a7a507219
121777bbb0135
13972b858258
144c93d9a841
1529811b4c18
hex1797e0afb9

101332332473 has 2 divisors, whose sum is σ = 101332332474. Its totient is φ = 101332332472.

The previous prime is 101332332391. The next prime is 101332332509. The reversal of 101332332473 is 374233233101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 70260514489 + 31071817984 = 265067^2 + 176272^2 .

It is a cyclic number.

It is not a de Polignac number, because 101332332473 - 214 = 101332316089 is a prime.

It is a super-2 number, since 2×1013323324732 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (101332332373) 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, 50666166236 + 50666166237.

It is an arithmetic number, because the mean of its divisors is an integer number (50666166237).

Almost surely, 2101332332473 is an apocalyptic number.

It is an amenable number.

101332332473 is a deficient number, since it is larger than the sum of its proper divisors (1).

101332332473 is an equidigital number, since it uses as much as digits as its factorization.

101332332473 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27216, while the sum is 32.

Adding to 101332332473 its reverse (374233233101), we get a palindrome (475565565574).

The spelling of 101332332473 in words is "one hundred one billion, three hundred thirty-two million, three hundred thirty-two thousand, four hundred seventy-three".