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223112130313 is a prime number
BaseRepresentation
bin1100111111001010000…
…1001110111100001001
3210022220001211112221211
43033302201032330021
512123413201132223
6250255111133121
722055632550062
oct3176241167411
9708801745854
10223112130313
1186691a87846
12372a79741a1
13180686ab227
14ab2783b569
155c0c532d0d
hex33f284ef09

223112130313 has 2 divisors, whose sum is σ = 223112130314. Its totient is φ = 223112130312.

The previous prime is 223112130287. The next prime is 223112130317. The reversal of 223112130313 is 313031211322.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 185443919424 + 37668210889 = 430632^2 + 194083^2 .

It is a cyclic number.

It is not a de Polignac number, because 223112130313 - 217 = 223111999241 is a prime.

It is a super-3 number, since 3×2231121303133 (a number of 35 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (223112130317) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111556065156 + 111556065157.

It is an arithmetic number, because the mean of its divisors is an integer number (111556065157).

Almost surely, 2223112130313 is an apocalyptic number.

It is an amenable number.

223112130313 is a deficient number, since it is larger than the sum of its proper divisors (1).

223112130313 is an equidigital number, since it uses as much as digits as its factorization.

223112130313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 223112130313 its reverse (313031211322), we get a palindrome (536143341635).

The spelling of 223112130313 in words is "two hundred twenty-three billion, one hundred twelve million, one hundred thirty thousand, three hundred thirteen".