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123322111201 is a prime number
BaseRepresentation
bin111001011011010010…
…0100001010011100001
3102210022112022100100001
41302312210201103201
54010030430024301
6132353044500001
711624015435542
oct1626644412341
9383275270301
10123322111201
1148334131473
121ba983aa601
13b82453ba43
145d7c63a4c9
15331b974c01
hex1cb69214e1

123322111201 has 2 divisors, whose sum is σ = 123322111202. Its totient is φ = 123322111200.

The previous prime is 123322111193. The next prime is 123322111219. The reversal of 123322111201 is 102111223321.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 118181938176 + 5140173025 = 343776^2 + 71695^2 .

It is a cyclic number.

It is not a de Polignac number, because 123322111201 - 23 = 123322111193 is a prime.

It is a super-2 number, since 2×1233221112012 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (123322111291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61661055600 + 61661055601.

It is an arithmetic number, because the mean of its divisors is an integer number (61661055601).

Almost surely, 2123322111201 is an apocalyptic number.

It is an amenable number.

123322111201 is a deficient number, since it is larger than the sum of its proper divisors (1).

123322111201 is an equidigital number, since it uses as much as digits as its factorization.

123322111201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 123322111201 its reverse (102111223321), we get a palindrome (225433334522).

The spelling of 123322111201 in words is "one hundred twenty-three billion, three hundred twenty-two million, one hundred eleven thousand, two hundred one".