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1323220223231 is a prime number
BaseRepresentation
bin10011010000010110000…
…100100100010011111111
311200111110111022000021222
4103100112010210103333
5133134423334120411
62451513505343555
7164412426214244
oct23202604442377
94614414260258
101323220223231
114701a1357625
12194547937bbb
1397a189a17ba
14480894015cb
15246477364db
hex134161244ff

1323220223231 has 2 divisors, whose sum is σ = 1323220223232. Its totient is φ = 1323220223230.

The previous prime is 1323220223201. The next prime is 1323220223251.

1323220223231 is nontrivially palindromic in base 10.

It is a strong prime.

It is a palprime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1323220223231 is a prime.

It is a super-4 number, since 4×13232202232314 (a number of 50 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 1323220223231.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1323220223201) 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, 661610111615 + 661610111616.

It is an arithmetic number, because the mean of its divisors is an integer number (661610111616).

Almost surely, 21323220223231 is an apocalyptic number.

1323220223231 is a deficient number, since it is larger than the sum of its proper divisors (1).

1323220223231 is an equidigital number, since it uses as much as digits as its factorization.

1323220223231 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 26.

It can be divided in two parts, 1323220 and 223231, that added together give a palindrome (1546451).

The spelling of 1323220223231 in words is "one trillion, three hundred twenty-three billion, two hundred twenty million, two hundred twenty-three thousand, two hundred thirty-one".