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40221126137 is a prime number
BaseRepresentation
bin100101011101010111…
…011010110111111001
310211211002010220112102
4211131113122313321
51124333102014022
630251034153145
72622500634263
oct453527326771
9124732126472
1040221126137
111606a860415
127965b827b5
133a3cb2572a
141d37accb33
1510a6115a92
hex95d5dadf9

40221126137 has 2 divisors, whose sum is σ = 40221126138. Its totient is φ = 40221126136.

The previous prime is 40221126133. The next prime is 40221126167. The reversal of 40221126137 is 73162112204.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 20926804921 + 19294321216 = 144661^2 + 138904^2 .

It is a cyclic number.

It is not a de Polignac number, because 40221126137 - 22 = 40221126133 is a prime.

It is not a weakly prime, because it can be changed into another prime (40221126133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20110563068 + 20110563069.

It is an arithmetic number, because the mean of its divisors is an integer number (20110563069).

Almost surely, 240221126137 is an apocalyptic number.

It is an amenable number.

40221126137 is a deficient number, since it is larger than the sum of its proper divisors (1).

40221126137 is an equidigital number, since it uses as much as digits as its factorization.

40221126137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4032, while the sum is 29.

The spelling of 40221126137 in words is "forty billion, two hundred twenty-one million, one hundred twenty-six thousand, one hundred thirty-seven".