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122533250261 is a prime number
BaseRepresentation
bin111001000011110001…
…1010000010011010101
3102201021112221001120012
41302013203100103111
54001422003002021
6132142504450005
711565326304452
oct1620743202325
9381245831505
10122533250261
1147a69909584
121b8b8179905
13b729c89016
145d05970829
1532c259d35b
hex1c878d04d5

122533250261 has 2 divisors, whose sum is σ = 122533250262. Its totient is φ = 122533250260.

The previous prime is 122533250141. The next prime is 122533250263. The reversal of 122533250261 is 162052335221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 115457244100 + 7076006161 = 339790^2 + 84119^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122533250261 is a prime.

Together with 122533250263, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122533250263) 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, 61266625130 + 61266625131.

It is an arithmetic number, because the mean of its divisors is an integer number (61266625131).

Almost surely, 2122533250261 is an apocalyptic number.

It is an amenable number.

122533250261 is a deficient number, since it is larger than the sum of its proper divisors (1).

122533250261 is an equidigital number, since it uses as much as digits as its factorization.

122533250261 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 21600, while the sum is 32.

Adding to 122533250261 its reverse (162052335221), we get a palindrome (284585585482).

The spelling of 122533250261 in words is "one hundred twenty-two billion, five hundred thirty-three million, two hundred fifty thousand, two hundred sixty-one".