Search a number
-
+
223303303132093 is a prime number
BaseRepresentation
bin110010110001011111011010…
…000011110111001110111101
31002021122120212010201100211001
4302301133122003313032331
5213232100131100211333
62110532042105530301
765015063006564662
oct6261373203671675
91067576763640731
10223303303132093
1165173443127398
12210658144a3991
13977a54633c232
143d1dd1a86da69
151ac3970ce8b7d
hexcb17da0f73bd

223303303132093 has 2 divisors, whose sum is σ = 223303303132094. Its totient is φ = 223303303132092.

The previous prime is 223303303132031. The next prime is 223303303132097. The reversal of 223303303132093 is 390231303303322.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 130161926775609 + 93141376356484 = 11408853^2 + 9650978^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-223303303132093 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (223303303132097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111651651566046 + 111651651566047.

It is an arithmetic number, because the mean of its divisors is an integer number (111651651566047).

Almost surely, 2223303303132093 is an apocalyptic number.

It is an amenable number.

223303303132093 is a deficient number, since it is larger than the sum of its proper divisors (1).

223303303132093 is an equidigital number, since it uses as much as digits as its factorization.

223303303132093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 157464, while the sum is 37.

It can be divided in two parts, 223303 and 303132093, that added together give a triangular number (303355396 = T24631).

The spelling of 223303303132093 in words is "two hundred twenty-three trillion, three hundred three billion, three hundred three million, one hundred thirty-two thousand, ninety-three".