Search a number
-
+
223107272847353 is a prime number
BaseRepresentation
bin110010101110101000110101…
…101111101010111111111001
31002020221211212110011002220202
4302232220311233222333321
5213220342143322103403
62110302022144331545
764664653130631566
oct6256506557527771
91066854773132822
10223107272847353
11650a8299145004
1221033826313bb5
139764c05599ccb
143d14641a9b86d
151abd7eb116688
hexcaea35beaff9

223107272847353 has 2 divisors, whose sum is σ = 223107272847354. Its totient is φ = 223107272847352.

The previous prime is 223107272847157. The next prime is 223107272847373. The reversal of 223107272847353 is 353748272701322.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 121266720821689 + 101840552025664 = 11012117^2 + 10091608^2 .

It is a cyclic number.

It is not a de Polignac number, because 223107272847353 - 210 = 223107272846329 is a prime.

It is a super-3 number, since 3×2231072728473533 (a number of 44 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (223107272847373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111553636423676 + 111553636423677.

It is an arithmetic number, because the mean of its divisors is an integer number (111553636423677).

Almost surely, 2223107272847353 is an apocalyptic number.

It is an amenable number.

223107272847353 is a deficient number, since it is larger than the sum of its proper divisors (1).

223107272847353 is an equidigital number, since it uses as much as digits as its factorization.

223107272847353 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 23708160, while the sum is 56.

The spelling of 223107272847353 in words is "two hundred twenty-three trillion, one hundred seven billion, two hundred seventy-two million, eight hundred forty-seven thousand, three hundred fifty-three".