Search a number
-
+
100322022329 is a prime number
BaseRepresentation
bin101110101101110101…
…0001001001110111001
3100120221121120202211122
41131123222021032321
53120424414203304
6114030505035025
710151034056054
oct1353352111671
9316847522748
10100322022329
1139601191261
1217539785a75
1395ca44b2b9
144bd9b27a9b
1529226489be
hex175ba893b9

100322022329 has 2 divisors, whose sum is σ = 100322022330. Its totient is φ = 100322022328.

The previous prime is 100322022319. The next prime is 100322022331. The reversal of 100322022329 is 923220223001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 89949007225 + 10373015104 = 299915^2 + 101848^2 .

It is a cyclic number.

It is not a de Polignac number, because 100322022329 - 212 = 100322018233 is a prime.

Together with 100322022331, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 100322022298 and 100322022307.

It is not a weakly prime, because it can be changed into another prime (100322022319) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50161011164 + 50161011165.

It is an arithmetic number, because the mean of its divisors is an integer number (50161011165).

Almost surely, 2100322022329 is an apocalyptic number.

It is an amenable number.

100322022329 is a deficient number, since it is larger than the sum of its proper divisors (1).

100322022329 is an equidigital number, since it uses as much as digits as its factorization.

100322022329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 26.

The spelling of 100322022329 in words is "one hundred billion, three hundred twenty-two million, twenty-two thousand, three hundred twenty-nine".