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122021756713 is a prime number
BaseRepresentation
bin111000110100100010…
…0000011111100101001
3102122221220110111022201
41301221010003330221
53444400032203323
6132020033420201
711546545550563
oct1615104037451
9378856414281
10122021756713
114782711193a
121b794a0a661
13b67800b60c
145c97a66333
1532927148ad
hex1c69103f29

122021756713 has 2 divisors, whose sum is σ = 122021756714. Its totient is φ = 122021756712.

The previous prime is 122021756657. The next prime is 122021756767. The reversal of 122021756713 is 317657120221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 97495691049 + 24526065664 = 312243^2 + 156608^2 .

It is a cyclic number.

It is not a de Polignac number, because 122021756713 - 29 = 122021756201 is a prime.

It is a super-2 number, since 2×1220217567132 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (122021706713) 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, 61010878356 + 61010878357.

It is an arithmetic number, because the mean of its divisors is an integer number (61010878357).

Almost surely, 2122021756713 is an apocalyptic number.

It is an amenable number.

122021756713 is a deficient number, since it is larger than the sum of its proper divisors (1).

122021756713 is an equidigital number, since it uses as much as digits as its factorization.

122021756713 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 35280, while the sum is 37.

Adding to 122021756713 its reverse (317657120221), we get a palindrome (439678876934).

The spelling of 122021756713 in words is "one hundred twenty-two billion, twenty-one million, seven hundred fifty-six thousand, seven hundred thirteen".