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2301000131233 is a prime number
BaseRepresentation
bin100001011110111110010…
…010111010001010100001
322010222021122200210211201
4201132332102322022201
5300144422013144413
64521022002241201
7325145633256046
oct41367622721241
98128248623751
102301000131233
11807937650521
12311b48356201
13138ca2647abb
147d5247751cd
153ecc33969dd
hex217be4ba2a1

2301000131233 has 2 divisors, whose sum is σ = 2301000131234. Its totient is φ = 2301000131232.

The previous prime is 2301000131041. The next prime is 2301000131299. The reversal of 2301000131233 is 3321310001032.

2301000131233 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., 1197947762064 + 1103052369169 = 1094508^2 + 1050263^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2301000131233 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2301000131233.

It is not a weakly prime, because it can be changed into another prime (2301000135233) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1150500065616 + 1150500065617.

It is an arithmetic number, because the mean of its divisors is an integer number (1150500065617).

Almost surely, 22301000131233 is an apocalyptic number.

It is an amenable number.

2301000131233 is a deficient number, since it is larger than the sum of its proper divisors (1).

2301000131233 is an equidigital number, since it uses as much as digits as its factorization.

2301000131233 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 2301000131233 its reverse (3321310001032), we get a palindrome (5622310132265).

The spelling of 2301000131233 in words is "two trillion, three hundred one billion, one hundred thirty-one thousand, two hundred thirty-three".