Search a number
-
+
2223110330381 is a prime number
BaseRepresentation
bin100000010110011011101…
…100111001100000001101
321212112020101021221212202
4200112123230321200031
5242410412221033011
64421141025411245
7316420514010413
oct40263354714015
97775211257782
102223110330381
117878a7909286
122baa2b199b25
1313183b762245
1479855d7d2b3
153cc652a723b
hex2059bb3980d

2223110330381 has 2 divisors, whose sum is σ = 2223110330382. Its totient is φ = 2223110330380.

The previous prime is 2223110330369. The next prime is 2223110330387. The reversal of 2223110330381 is 1830330113222.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1609878816100 + 613231514281 = 1268810^2 + 783091^2 .

It is a cyclic number.

It is not a de Polignac number, because 2223110330381 - 226 = 2223043221517 is a prime.

It is a super-2 number, since 2×22231103303812 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2223110330387) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1111555165190 + 1111555165191.

It is an arithmetic number, because the mean of its divisors is an integer number (1111555165191).

Almost surely, 22223110330381 is an apocalyptic number.

It is an amenable number.

2223110330381 is a deficient number, since it is larger than the sum of its proper divisors (1).

2223110330381 is an equidigital number, since it uses as much as digits as its factorization.

2223110330381 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5184, while the sum is 29.

The spelling of 2223110330381 in words is "two trillion, two hundred twenty-three billion, one hundred ten million, three hundred thirty thousand, three hundred eighty-one".