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122231103020993 is a prime number
BaseRepresentation
bin11011110010101100100101…
…011110011101111111000001
3121000210011211201201202010102
4123302230211132131333001
5112010113244333132433
61111544105445412145
734513622452022561
oct3362544536357701
9530704751652112
10122231103020993
1135a45a1310821a
121186125910a055
135328460a43035
142228034732da1
15e1e7a14624e8
hex6f2b2579dfc1

122231103020993 has 2 divisors, whose sum is σ = 122231103020994. Its totient is φ = 122231103020992.

The previous prime is 122231103020969. The next prime is 122231103021017. The reversal of 122231103020993 is 399020301132221.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (122231103020969) and next prime (122231103021017).

It can be written as a sum of positive squares in only one way, i.e., 109925516104369 + 12305586916624 = 10484537^2 + 3507932^2 .

It is a cyclic number.

It is not a de Polignac number, because 122231103020993 - 226 = 122231035912129 is a prime.

It is not a weakly prime, because it can be changed into another prime (122231103020933) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61115551510496 + 61115551510497.

It is an arithmetic number, because the mean of its divisors is an integer number (61115551510497).

Almost surely, 2122231103020993 is an apocalyptic number.

It is an amenable number.

122231103020993 is a deficient number, since it is larger than the sum of its proper divisors (1).

122231103020993 is an equidigital number, since it uses as much as digits as its factorization.

122231103020993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 34992, while the sum is 38.

The spelling of 122231103020993 in words is "one hundred twenty-two trillion, two hundred thirty-one billion, one hundred three million, twenty thousand, nine hundred ninety-three".