Search a number
-
+
101223020369 is a prime number
BaseRepresentation
bin101111001000101011…
…1001011011101010001
3100200021101222012210102
41132101113023131101
53124301043122434
6114300132342145
710212254322362
oct1362127133521
9320241865712
10101223020369
1139a23835439
121774b474955
139712004033
144c83663b69
1529767c107e
hex17915cb751

101223020369 has 2 divisors, whose sum is σ = 101223020370. Its totient is φ = 101223020368.

The previous prime is 101223020329. The next prime is 101223020407. The reversal of 101223020369 is 963020322101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 71349354769 + 29873665600 = 267113^2 + 172840^2 .

It is a cyclic number.

It is not a de Polignac number, because 101223020369 - 232 = 96928053073 is a prime.

It is a super-2 number, since 2×1012230203692 (a number of 23 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (101223020329) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50611510184 + 50611510185.

It is an arithmetic number, because the mean of its divisors is an integer number (50611510185).

Almost surely, 2101223020369 is an apocalyptic number.

It is an amenable number.

101223020369 is a deficient number, since it is larger than the sum of its proper divisors (1).

101223020369 is an equidigital number, since it uses as much as digits as its factorization.

101223020369 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3888, while the sum is 29.

The spelling of 101223020369 in words is "one hundred one billion, two hundred twenty-three million, twenty thousand, three hundred sixty-nine".