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220100312110313 is a prime number
BaseRepresentation
bin110010000010111000011000…
…111010110001010011101001
31001212022101101012000202100002
4302002320120322301103221
5212322110414400012223
62100040404300152345
764234502626243505
oct6202703072612351
91055271335022302
10220100312110313
1164149022201598
1220828ab92386b5
1395a74a79303bb
143c4ccaa549305
151a6a4aa761e28
hexc82e18eb14e9

220100312110313 has 2 divisors, whose sum is σ = 220100312110314. Its totient is φ = 220100312110312.

The previous prime is 220100312110271. The next prime is 220100312110333. The reversal of 220100312110313 is 313011213001022.

It is a happy number.

It is an a-pointer prime, because the next prime (220100312110333) can be obtained adding 220100312110313 to its sum of digits (20).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 216886796963929 + 3213515146384 = 14727077^2 + 1792628^2 .

It is a cyclic number.

It is not a de Polignac number, because 220100312110313 - 210 = 220100312109289 is a prime.

It is a super-3 number, since 3×2201003121103133 (a number of 44 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (220100312110333) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110050156055156 + 110050156055157.

It is an arithmetic number, because the mean of its divisors is an integer number (110050156055157).

Almost surely, 2220100312110313 is an apocalyptic number.

It is an amenable number.

220100312110313 is a deficient number, since it is larger than the sum of its proper divisors (1).

220100312110313 is an equidigital number, since it uses as much as digits as its factorization.

220100312110313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 220100312110313 its reverse (313011213001022), we get a palindrome (533111525111335).

The spelling of 220100312110313 in words is "two hundred twenty trillion, one hundred billion, three hundred twelve million, one hundred ten thousand, three hundred thirteen".