Search a number
-
+
223201212961 is a prime number
BaseRepresentation
bin1100111111011111010…
…1000011101000100001
3210100010021110102101011
43033313311003220201
512124104002303321
6250312012340521
722061064002206
oct3176765035041
9710107412334
10223201212961
11867282a1971
1237311774741
1318080c9b75c
14ab355c9cad
155c1527cae1
hex33f7d43a21

223201212961 has 2 divisors, whose sum is σ = 223201212962. Its totient is φ = 223201212960.

The previous prime is 223201212889. The next prime is 223201213049. The reversal of 223201212961 is 169212102322.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 119826745600 + 103374467361 = 346160^2 + 321519^2 .

It is a cyclic number.

It is not a de Polignac number, because 223201212961 - 211 = 223201210913 is a prime.

It is a super-3 number, since 3×2232012129613 (a number of 35 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (223201212461) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111600606480 + 111600606481.

It is an arithmetic number, because the mean of its divisors is an integer number (111600606481).

Almost surely, 2223201212961 is an apocalyptic number.

It is an amenable number.

223201212961 is a deficient number, since it is larger than the sum of its proper divisors (1).

223201212961 is an equidigital number, since it uses as much as digits as its factorization.

223201212961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5184, while the sum is 31.

The spelling of 223201212961 in words is "two hundred twenty-three billion, two hundred one million, two hundred twelve thousand, nine hundred sixty-one".