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13202033129 is a prime number
BaseRepresentation
bin11000100101110011…
…10000100111101001
31021002001221202210222
430102321300213221
5204014210030004
610022005215425
7645105300335
oct142271604751
937061852728
1013202033129
11566522698a
122685401575
1313251bb52c
148d351a7c5
1552405d7be
hex312e709e9

13202033129 has 2 divisors, whose sum is σ = 13202033130. Its totient is φ = 13202033128.

The previous prime is 13202033113. The next prime is 13202033219. The reversal of 13202033129 is 92133020231.

13202033129 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Together with next prime (13202033219) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7326504025 + 5875529104 = 85595^2 + 76652^2 .

It is a cyclic number.

It is not a de Polignac number, because 13202033129 - 24 = 13202033113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13202033098 and 13202033107.

It is not a weakly prime, because it can be changed into another prime (13202035129) 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, 6601016564 + 6601016565.

It is an arithmetic number, because the mean of its divisors is an integer number (6601016565).

Almost surely, 213202033129 is an apocalyptic number.

It is an amenable number.

13202033129 is a deficient number, since it is larger than the sum of its proper divisors (1).

13202033129 is an equidigital number, since it uses as much as digits as its factorization.

13202033129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 26.

The spelling of 13202033129 in words is "thirteen billion, two hundred two million, thirty-three thousand, one hundred twenty-nine".