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122301321113 is a prime number
BaseRepresentation
bin111000111100110111…
…0100000111110011001
3102200200101111211120202
41301321232200332121
54000433114233423
6132103501431545
711556512035256
oct1617156407631
9380611454522
10122301321113
114795a9a87a4
121b85256b5b5
13b6c0c0293a
145cc2c3a42d
1532ac038728
hex1c79ba0f99

122301321113 has 2 divisors, whose sum is σ = 122301321114. Its totient is φ = 122301321112.

The previous prime is 122301321061. The next prime is 122301321127. The reversal of 122301321113 is 311123103221.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 91414313104 + 30887008009 = 302348^2 + 175747^2 .

It is a cyclic number.

It is not a de Polignac number, because 122301321113 - 28 = 122301320857 is a prime.

It is a super-2 number, since 2×1223013211132 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (122301321193) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61150660556 + 61150660557.

It is an arithmetic number, because the mean of its divisors is an integer number (61150660557).

Almost surely, 2122301321113 is an apocalyptic number.

It is an amenable number.

122301321113 is a deficient number, since it is larger than the sum of its proper divisors (1).

122301321113 is an equidigital number, since it uses as much as digits as its factorization.

122301321113 is an odious number, because the sum of its binary digits is odd.

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

Adding to 122301321113 its reverse (311123103221), we get a palindrome (433424424334).

The spelling of 122301321113 in words is "one hundred twenty-two billion, three hundred one million, three hundred twenty-one thousand, one hundred thirteen".