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122113130281 is a prime number
BaseRepresentation
bin111000110111010000…
…0100111111100101001
3102200012021101202021221
41301232200213330221
54000041430132111
6132033100102041
711552035324042
oct1615640477451
9380167352257
10122113130281
114787375118a
121b7bb534921
13b690c2180c
145ca5c4d8c9
15329a763371
hex1c6e827f29

122113130281 has 2 divisors, whose sum is σ = 122113130282. Its totient is φ = 122113130280.

The previous prime is 122113130263. The next prime is 122113130291. The reversal of 122113130281 is 182031311221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 93388304025 + 28724826256 = 305595^2 + 169484^2 .

It is an emirp because it is prime and its reverse (182031311221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 122113130281 - 29 = 122113129769 is a prime.

It is a super-3 number, since 3×1221131302813 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (122113130221) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61056565140 + 61056565141.

It is an arithmetic number, because the mean of its divisors is an integer number (61056565141).

Almost surely, 2122113130281 is an apocalyptic number.

It is an amenable number.

122113130281 is a deficient number, since it is larger than the sum of its proper divisors (1).

122113130281 is an equidigital number, since it uses as much as digits as its factorization.

122113130281 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 576, while the sum is 25.

The spelling of 122113130281 in words is "one hundred twenty-two billion, one hundred thirteen million, one hundred thirty thousand, two hundred eighty-one".