Search a number
-
+
2301132103229 is a prime number
BaseRepresentation
bin100001011111000110001…
…010010101111000111101
322010222121212000200101102
4201133012022111320331
5300200204304300404
64521043035022445
7325152125102051
oct41370612257075
98128555020342
102301132103229
118079a5099a93
12311b8459aa25
13138cc3aa403b
147d5380c9c61
153eccec6471e
hex217c6295e3d

2301132103229 has 2 divisors, whose sum is σ = 2301132103230. Its totient is φ = 2301132103228.

The previous prime is 2301132103211. The next prime is 2301132103247. The reversal of 2301132103229 is 9223012311032.

It is a balanced prime because it is at equal distance from previous prime (2301132103211) and next prime (2301132103247).

It can be written as a sum of positive squares in only one way, i.e., 1300135855225 + 1000996248004 = 1140235^2 + 1000498^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2301132103229 is a prime.

It is a super-2 number, since 2×23011321032292 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2301132103289) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1150566051614 + 1150566051615.

It is an arithmetic number, because the mean of its divisors is an integer number (1150566051615).

Almost surely, 22301132103229 is an apocalyptic number.

It is an amenable number.

2301132103229 is a deficient number, since it is larger than the sum of its proper divisors (1).

2301132103229 is an equidigital number, since it uses as much as digits as its factorization.

2301132103229 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3888, while the sum is 29.

The spelling of 2301132103229 in words is "two trillion, three hundred one billion, one hundred thirty-two million, one hundred three thousand, two hundred twenty-nine".