Search a number
-
+
101121332933 is a prime number
BaseRepresentation
bin101111000101101001…
…1010001011011000101
3100200000022121221212002
41132023103101123011
53124044030123213
6114242101035045
710206611101505
oct1361323213305
9320008557762
10101121332933
11399813a1135
12177213b5a85
1396c6c1c45a
144c73d53a05
15296c8d6658
hex178b4d16c5

101121332933 has 2 divisors, whose sum is σ = 101121332934. Its totient is φ = 101121332932.

The previous prime is 101121332927. The next prime is 101121332941. The reversal of 101121332933 is 339233121101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 93548504449 + 7572828484 = 305857^2 + 87022^2 .

It is a cyclic number.

It is not a de Polignac number, because 101121332933 - 26 = 101121332869 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101121332896 and 101121332905.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101121332953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50560666466 + 50560666467.

It is an arithmetic number, because the mean of its divisors is an integer number (50560666467).

Almost surely, 2101121332933 is an apocalyptic number.

It is an amenable number.

101121332933 is a deficient number, since it is larger than the sum of its proper divisors (1).

101121332933 is an equidigital number, since it uses as much as digits as its factorization.

101121332933 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2916, while the sum is 29.

The spelling of 101121332933 in words is "one hundred one billion, one hundred twenty-one million, three hundred thirty-two thousand, nine hundred thirty-three".