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122023505281 is a prime number
BaseRepresentation
bin111000110100100101…
…0101110110110000001
3102122222000202022220111
41301221022232312001
53444401004132111
6132020135111321
711546566452466
oct1615112566601
9378860668814
10122023505281
11478280a6637
121b795512541
13b6784a1482
145c97d9d66d
15329295ca21
hex1c692aed81

122023505281 has 2 divisors, whose sum is σ = 122023505282. Its totient is φ = 122023505280.

The previous prime is 122023505189. The next prime is 122023505297. The reversal of 122023505281 is 182505320221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 107819632881 + 14203872400 = 328359^2 + 119180^2 .

It is a cyclic number.

It is not a de Polignac number, because 122023505281 - 221 = 122021408129 is a prime.

It is a super-2 number, since 2×1220235052812 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (122023505881) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61011752640 + 61011752641.

It is an arithmetic number, because the mean of its divisors is an integer number (61011752641).

Almost surely, 2122023505281 is an apocalyptic number.

122023505281 is the 220929-th centered pentagonal number.

It is an amenable number.

122023505281 is a deficient number, since it is larger than the sum of its proper divisors (1).

122023505281 is an equidigital number, since it uses as much as digits as its factorization.

122023505281 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9600, while the sum is 31.

The spelling of 122023505281 in words is "one hundred twenty-two billion, twenty-three million, five hundred five thousand, two hundred eighty-one".