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214334101313393 is a prime number
BaseRepresentation
bin110000101110111110001011…
…111110001101011101110001
31001002220010210001010020202012
4300232332023332031131301
5211043122214414012033
62035503420555132305
763101061560205425
oct6056761376153561
91032803701106665
10214334101313393
1162325644570766
1220057474a44095
13927980800b779
143acdb7c206b85
1519ba4c635e248
hexc2ef8bf8d771

214334101313393 has 2 divisors, whose sum is σ = 214334101313394. Its totient is φ = 214334101313392.

The previous prime is 214334101313383. The next prime is 214334101313447. The reversal of 214334101313393 is 393313101433412.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 195288802328929 + 19045298984464 = 13974577^2 + 4364092^2 .

It is a cyclic number.

It is not a de Polignac number, because 214334101313393 - 24 = 214334101313377 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 214334101313393.

It is not a weakly prime, because it can be changed into another prime (214334101313323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 107167050656696 + 107167050656697.

It is an arithmetic number, because the mean of its divisors is an integer number (107167050656697).

Almost surely, 2214334101313393 is an apocalyptic number.

It is an amenable number.

214334101313393 is a deficient number, since it is larger than the sum of its proper divisors (1).

214334101313393 is an equidigital number, since it uses as much as digits as its factorization.

214334101313393 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 209952, while the sum is 41.

The spelling of 214334101313393 in words is "two hundred fourteen trillion, three hundred thirty-four billion, one hundred one million, three hundred thirteen thousand, three hundred ninety-three".