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2402013210329 is a prime number
BaseRepresentation
bin100010111101000011001…
…001001110011011011001
322111122000102121220100102
4202331003021032123121
5303323310340212304
65035245235145145
7335353061260655
oct42750311163331
98448012556312
102402013210329
11846762922977
123296394451b5
1314567ccc3915
1484388189a65
15427364e7d1e
hex22f4324e6d9

2402013210329 has 2 divisors, whose sum is σ = 2402013210330. Its totient is φ = 2402013210328.

The previous prime is 2402013210307. The next prime is 2402013210341. The reversal of 2402013210329 is 9230123102042.

It is a happy number.

2402013210329 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1384971215104 + 1017041995225 = 1176848^2 + 1008485^2 .

It is a cyclic number.

It is not a de Polignac number, because 2402013210329 - 224 = 2401996433113 is a prime.

It is not a weakly prime, because it can be changed into another prime (2402033210329) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1201006605164 + 1201006605165.

It is an arithmetic number, because the mean of its divisors is an integer number (1201006605165).

Almost surely, 22402013210329 is an apocalyptic number.

It is an amenable number.

2402013210329 is a deficient number, since it is larger than the sum of its proper divisors (1).

2402013210329 is an equidigital number, since it uses as much as digits as its factorization.

2402013210329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5184, while the sum is 29.

The spelling of 2402013210329 in words is "two trillion, four hundred two billion, thirteen million, two hundred ten thousand, three hundred twenty-nine".