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2300002131121 is a prime number
BaseRepresentation
bin100001011110000010110…
…011110101110010110001
322010212201002210011001121
4201132002303311302301
5300140401021143441
64520334551502241
7325112124354532
oct41360263656261
98125632704047
102300002131121
11807475273242
1231190a087981
13138b7395aca6
147d46bdc8689
153ec6595cdd1
hex21782cf5cb1

2300002131121 has 2 divisors, whose sum is σ = 2300002131122. Its totient is φ = 2300002131120.

The previous prime is 2300002131071. The next prime is 2300002131131. The reversal of 2300002131121 is 1211312000032.

2300002131121 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., 2124073056400 + 175929074721 = 1457420^2 + 419439^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2300002131121 is a prime.

It is a super-2 number, since 2×23000021311212 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2300002131095 and 2300002131104.

It is not a weakly prime, because it can be changed into another prime (2300002131131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1150001065560 + 1150001065561.

It is an arithmetic number, because the mean of its divisors is an integer number (1150001065561).

Almost surely, 22300002131121 is an apocalyptic number.

It is an amenable number.

2300002131121 is a deficient number, since it is larger than the sum of its proper divisors (1).

2300002131121 is an equidigital number, since it uses as much as digits as its factorization.

2300002131121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 2300002131121 its reverse (1211312000032), we get a palindrome (3511314131153).

The spelling of 2300002131121 in words is "two trillion, three hundred billion, two million, one hundred thirty-one thousand, one hundred twenty-one".