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129237526193 is a prime number
BaseRepresentation
bin111100001011100101…
…0000010011010110001
3110100120210012120012012
41320113022002122301
54104134301314233
6135212040412305
712223424563436
oct1702712023261
9410523176165
10129237526193
114a89a23a296
1221069477095
13c257c304b9
14638010bb8d
153565e50548
hex1e172826b1

129237526193 has 2 divisors, whose sum is σ = 129237526194. Its totient is φ = 129237526192.

The previous prime is 129237526189. The next prime is 129237526211. The reversal of 129237526193 is 391625732921.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 112273245184 + 16964281009 = 335072^2 + 130247^2 .

It is a cyclic number.

It is not a de Polignac number, because 129237526193 - 22 = 129237526189 is a prime.

It is a super-3 number, since 3×1292375261933 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (129237526133) 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, 64618763096 + 64618763097.

It is an arithmetic number, because the mean of its divisors is an integer number (64618763097).

Almost surely, 2129237526193 is an apocalyptic number.

It is an amenable number.

129237526193 is a deficient number, since it is larger than the sum of its proper divisors (1).

129237526193 is an equidigital number, since it uses as much as digits as its factorization.

129237526193 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1224720, while the sum is 50.

The spelling of 129237526193 in words is "one hundred twenty-nine billion, two hundred thirty-seven million, five hundred twenty-six thousand, one hundred ninety-three".