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122533250141 is a prime number
BaseRepresentation
bin111001000011110001…
…1010000010001011101
3102201021112221001101202
41302013203100101131
54001422003001031
6132142504445245
711565326304221
oct1620743202135
9381245831352
10122533250141
1147a69909485
121b8b8179825
13b729c88c53
145d05970781
1532c259d2cb
hex1c878d045d

122533250141 has 2 divisors, whose sum is σ = 122533250142. Its totient is φ = 122533250140.

The previous prime is 122533250087. The next prime is 122533250261. The reversal of 122533250141 is 141052335221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 121598664100 + 934586041 = 348710^2 + 30571^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122533250141 is a prime.

It is a super-3 number, since 3×1225332501413 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122533210141) 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, 61266625070 + 61266625071.

It is an arithmetic number, because the mean of its divisors is an integer number (61266625071).

Almost surely, 2122533250141 is an apocalyptic number.

It is an amenable number.

122533250141 is a deficient number, since it is larger than the sum of its proper divisors (1).

122533250141 is an equidigital number, since it uses as much as digits as its factorization.

122533250141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7200, while the sum is 29.

Adding to 122533250141 its reverse (141052335221), we get a palindrome (263585585362).

The spelling of 122533250141 in words is "one hundred twenty-two billion, five hundred thirty-three million, two hundred fifty thousand, one hundred forty-one".