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214334101313821 is a prime number
BaseRepresentation
bin110000101110111110001011…
…111110001101100100011101
31001002220010210001010021100001
4300232332023332031210131
5211043122214414020241
62035503420555134301
763101061560206606
oct6056761376154435
91032803701107301
10214334101313821
1162325644571015
1220057474a44391
13927980800ba18
143acdb7c206dad
1519ba4c635e431
hexc2ef8bf8d91d

214334101313821 has 2 divisors, whose sum is σ = 214334101313822. Its totient is φ = 214334101313820.

The previous prime is 214334101313807. The next prime is 214334101313831. The reversal of 214334101313821 is 128313101433412.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 149752465800921 + 64581635512900 = 12237339^2 + 8036270^2 .

It is a cyclic number.

It is not a de Polignac number, because 214334101313821 - 27 = 214334101313693 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (214334101313831) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 107167050656910 + 107167050656911.

It is an arithmetic number, because the mean of its divisors is an integer number (107167050656911).

Almost surely, 2214334101313821 is an apocalyptic number.

It is an amenable number.

214334101313821 is a deficient number, since it is larger than the sum of its proper divisors (1).

214334101313821 is an equidigital number, since it uses as much as digits as its factorization.

214334101313821 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 41472, while the sum is 37.

The spelling of 214334101313821 in words is "two hundred fourteen trillion, three hundred thirty-four billion, one hundred one million, three hundred thirteen thousand, eight hundred twenty-one".