Search a number
-
+
223212213121231 is a prime number
BaseRepresentation
bin110010110000001010100100…
…101011000011000011001111
31002021022212201220210100220001
4302300022210223003003033
5213224102103024334411
62110422135230505131
765005356503351125
oct6260124453030317
91067285656710801
10223212213121231
116513884a1a3a84
12210500326651a7
139771a8a755c19
143d19758cb3915
151ac13dde0adc1
hexcb02a4ac30cf

223212213121231 has 2 divisors, whose sum is σ = 223212213121232. Its totient is φ = 223212213121230.

The previous prime is 223212213121187. The next prime is 223212213121237. The reversal of 223212213121231 is 132121312212322.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 223212213121231 - 213 = 223212213113039 is a prime.

It is a super-3 number, since 3×2232122131212313 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 223212213121231.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (223212213121237) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111606106560615 + 111606106560616.

It is an arithmetic number, because the mean of its divisors is an integer number (111606106560616).

Almost surely, 2223212213121231 is an apocalyptic number.

223212213121231 is a deficient number, since it is larger than the sum of its proper divisors (1).

223212213121231 is an equidigital number, since it uses as much as digits as its factorization.

223212213121231 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3456, while the sum is 28.

Adding to 223212213121231 its reverse (132121312212322), we get a palindrome (355333525333553).

The spelling of 223212213121231 in words is "two hundred twenty-three trillion, two hundred twelve billion, two hundred thirteen million, one hundred twenty-one thousand, two hundred thirty-one".