Search a number
-
+
223112203129 is a prime number
BaseRepresentation
bin1100111111001010000…
…1100000101101111001
3210022220001222020211201
43033302201200231321
512123413211000004
6250255112454201
722055633302264
oct3176241405571
9708801866751
10223112203129
1186692027522
12372a79aa361
131806870540a
14ab27859cdb
155c0c5496a4
hex33f2860b79

223112203129 has 2 divisors, whose sum is σ = 223112203130. Its totient is φ = 223112203128.

The previous prime is 223112203073. The next prime is 223112203151. The reversal of 223112203129 is 921302211322.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 193843836729 + 29268366400 = 440277^2 + 171080^2 .

It is a cyclic number.

It is not a de Polignac number, because 223112203129 - 27 = 223112203001 is a prime.

It is a super-3 number, since 3×2231122031293 (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 223112203097 and 223112203106.

It is not a weakly prime, because it can be changed into another prime (223112203169) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111556101564 + 111556101565.

It is an arithmetic number, because the mean of its divisors is an integer number (111556101565).

Almost surely, 2223112203129 is an apocalyptic number.

It is an amenable number.

223112203129 is a deficient number, since it is larger than the sum of its proper divisors (1).

223112203129 is an equidigital number, since it uses as much as digits as its factorization.

223112203129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2592, while the sum is 28.

The spelling of 223112203129 in words is "two hundred twenty-three billion, one hundred twelve million, two hundred three thousand, one hundred twenty-nine".