Search a number
-
+
221233311121 is a prime number
BaseRepresentation
bin1100111000001010001…
…0000110110110010001
3210011001010111122112211
43032002202012312101
512111041211423441
6245344433352121
721661240055104
oct3160242066621
9704033448484
10221233311121
1185908489109
1236a62708641
1317b293823b4
14a9ca0c873b
155b4c60aa81
hex3382886d91

221233311121 has 2 divisors, whose sum is σ = 221233311122. Its totient is φ = 221233311120.

The previous prime is 221233311109. The next prime is 221233311157. The reversal of 221233311121 is 121113332122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 211991180625 + 9242130496 = 460425^2 + 96136^2 .

It is a cyclic number.

It is not a de Polignac number, because 221233311121 - 27 = 221233310993 is a prime.

It is a super-2 number, since 2×2212333111212 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 221233311092 and 221233311101.

It is not a weakly prime, because it can be changed into another prime (221233311161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110616655560 + 110616655561.

It is an arithmetic number, because the mean of its divisors is an integer number (110616655561).

Almost surely, 2221233311121 is an apocalyptic number.

It is an amenable number.

221233311121 is a deficient number, since it is larger than the sum of its proper divisors (1).

221233311121 is an equidigital number, since it uses as much as digits as its factorization.

221233311121 is an evil number, because the sum of its binary digits is even.

The product of its digits is 432, while the sum is 22.

Adding to 221233311121 its reverse (121113332122), we get a palindrome (342346643243).

The spelling of 221233311121 in words is "two hundred twenty-one billion, two hundred thirty-three million, three hundred eleven thousand, one hundred twenty-one".