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91506212129 is a prime number
BaseRepresentation
bin101010100111000110…
…0011111110100100001
322202012020002012201202
41111032030133310201
52444401042242004
6110012023410545
76416415653363
oct1251614376441
9282166065652
1091506212129
1135897964602
12158992b3a55
138823baac67
144600d7ad33
1525a8701b1e
hex154e31fd21

91506212129 has 2 divisors, whose sum is σ = 91506212130. Its totient is φ = 91506212128.

The previous prime is 91506212051. The next prime is 91506212159. The reversal of 91506212129 is 92121260519.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 91494150400 + 12061729 = 302480^2 + 3473^2 .

It is a cyclic number.

It is not a de Polignac number, because 91506212129 - 224 = 91489434913 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 91506212092 and 91506212101.

It is not a weakly prime, because it can be changed into another prime (91506212159) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 45753106064 + 45753106065.

It is an arithmetic number, because the mean of its divisors is an integer number (45753106065).

Almost surely, 291506212129 is an apocalyptic number.

It is an amenable number.

91506212129 is a deficient number, since it is larger than the sum of its proper divisors (1).

91506212129 is an equidigital number, since it uses as much as digits as its factorization.

91506212129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 19440, while the sum is 38.

The spelling of 91506212129 in words is "ninety-one billion, five hundred six million, two hundred twelve thousand, one hundred twenty-nine".