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2313213109993 is a prime number
BaseRepresentation
bin100001101010010110001…
…111101110011011101001
322012010210210120102010101
4201222112033232123221
5300344430024004433
64530401520545401
7326060402004112
oct41522617563351
98163723512111
102313213109993
1181203454a1a5
12314396482261
1313a19a95c256
147dd62793209
154028a68707d
hex21a963ee6e9

2313213109993 has 2 divisors, whose sum is σ = 2313213109994. Its totient is φ = 2313213109992.

The previous prime is 2313213109951. The next prime is 2313213109997. The reversal of 2313213109993 is 3999013123132.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2253280194649 + 59932915344 = 1501093^2 + 244812^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2313213109993 is a prime.

It is a super-3 number, since 3×23132131099933 (a number of 38 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (2313213109997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1156606554996 + 1156606554997.

It is an arithmetic number, because the mean of its divisors is an integer number (1156606554997).

Almost surely, 22313213109993 is an apocalyptic number.

It is an amenable number.

2313213109993 is a deficient number, since it is larger than the sum of its proper divisors (1).

2313213109993 is an equidigital number, since it uses as much as digits as its factorization.

2313213109993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 236196, while the sum is 46.

The spelling of 2313213109993 in words is "two trillion, three hundred thirteen billion, two hundred thirteen million, one hundred nine thousand, nine hundred ninety-three".