Search a number
-
+
223102132231249 is a prime number
BaseRepresentation
bin110010101110100100000011…
…010101110001110001010001
31002020221100121012011202022201
4302232210003111301301101
5213220301131322344444
62110255412111203201
764664411550256615
oct6256440325616121
91066840535152281
10223102132231249
11650a60a0425047
1221032830816501
13976459657682b
143d142b5075345
151abd5e9b85dd4
hexcae903571c51

223102132231249 has 2 divisors, whose sum is σ = 223102132231250. Its totient is φ = 223102132231248.

The previous prime is 223102132231213. The next prime is 223102132231289. The reversal of 223102132231249 is 942132231201322.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 218094414720400 + 5007717510849 = 14768020^2 + 2237793^2 .

It is a cyclic number.

It is not a de Polignac number, because 223102132231249 - 29 = 223102132230737 is a prime.

It is a super-3 number, since 3×2231021322312493 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (223102132231289) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111551066115624 + 111551066115625.

It is an arithmetic number, because the mean of its divisors is an integer number (111551066115625).

Almost surely, 2223102132231249 is an apocalyptic number.

It is an amenable number.

223102132231249 is a deficient number, since it is larger than the sum of its proper divisors (1).

223102132231249 is an equidigital number, since it uses as much as digits as its factorization.

223102132231249 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 62208, while the sum is 37.

The spelling of 223102132231249 in words is "two hundred twenty-three trillion, one hundred two billion, one hundred thirty-two million, two hundred thirty-one thousand, two hundred forty-nine".