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223141031100313 is a prime number
BaseRepresentation
bin110010101111001000010001…
…111001001011111110011001
31002021002002000010021001010221
4302233020101321023332121
5213221420312430202223
62110325324033040041
765000256524224264
oct6257102171137631
91067062003231127
10223141031100313
1165110641866117
122103a2879b6021
139768155470711
143d161252cbcdb
151abe624b61b5d
hexcaf211e4bf99

223141031100313 has 2 divisors, whose sum is σ = 223141031100314. Its totient is φ = 223141031100312.

The previous prime is 223141031100311. The next prime is 223141031100341. The reversal of 223141031100313 is 313001130141322.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 176400181354329 + 46740849745984 = 13281573^2 + 6836728^2 .

It is a cyclic number.

It is not a de Polignac number, because 223141031100313 - 21 = 223141031100311 is a prime.

It is a super-3 number, since 3×2231410311003133 (a number of 44 digits) contains 333 as substring.

Together with 223141031100311, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (223141031100311) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111570515550156 + 111570515550157.

It is an arithmetic number, because the mean of its divisors is an integer number (111570515550157).

Almost surely, 2223141031100313 is an apocalyptic number.

It is an amenable number.

223141031100313 is a deficient number, since it is larger than the sum of its proper divisors (1).

223141031100313 is an equidigital number, since it uses as much as digits as its factorization.

223141031100313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1296, while the sum is 25.

Adding to 223141031100313 its reverse (313001130141322), we get a palindrome (536142161241635).

The spelling of 223141031100313 in words is "two hundred twenty-three trillion, one hundred forty-one billion, thirty-one million, one hundred thousand, three hundred thirteen".