Search a number
-
+
223112116729 is a prime number
BaseRepresentation
bin1100111111001010000…
…1001011100111111001
3210022220001210212022201
43033302201023213321
512123413200213404
6250255110550201
722055632462345
oct3176241134771
9708801725281
10223112116729
1186691a78617
12372a7968361
13180686a4ca8
14ab27836625
155c0c52dca4
hex33f284b9f9

223112116729 has 2 divisors, whose sum is σ = 223112116730. Its totient is φ = 223112116728.

The previous prime is 223112116691. The next prime is 223112116763. The reversal of 223112116729 is 927611211322.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 222500890000 + 611226729 = 471700^2 + 24723^2 .

It is a cyclic number.

It is not a de Polignac number, because 223112116729 - 229 = 222575245817 is a prime.

It is a super-3 number, since 3×2231121167293 (a number of 35 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (223112116769) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111556058364 + 111556058365.

It is an arithmetic number, because the mean of its divisors is an integer number (111556058365).

Almost surely, 2223112116729 is an apocalyptic number.

It is an amenable number.

223112116729 is a deficient number, since it is larger than the sum of its proper divisors (1).

223112116729 is an equidigital number, since it uses as much as digits as its factorization.

223112116729 is an evil number, because the sum of its binary digits is even.

The product of its digits is 18144, while the sum is 37.

The spelling of 223112116729 in words is "two hundred twenty-three billion, one hundred twelve million, one hundred sixteen thousand, seven hundred twenty-nine".