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211100021213 is a prime number
BaseRepresentation
bin1100010010011010001…
…0101011000111011101
3202011212220221012001012
43010212202223013131
511424313101134323
6240551130025005
721152153400614
oct3044642530735
9664786835035
10211100021213
1181588505454
1234ab4b78165
1316ba2b96b73
14a30838a87b
155757bbe678
hex31268ab1dd

211100021213 has 2 divisors, whose sum is σ = 211100021214. Its totient is φ = 211100021212.

The previous prime is 211100021203. The next prime is 211100021261. The reversal of 211100021213 is 312120001112.

211100021213 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 140023394809 + 71076626404 = 374197^2 + 266602^2 .

It is a cyclic number.

It is not a de Polignac number, because 211100021213 - 218 = 211099759069 is a prime.

It is a super-2 number, since 2×2111000212132 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (211100021203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105550010606 + 105550010607.

It is an arithmetic number, because the mean of its divisors is an integer number (105550010607).

Almost surely, 2211100021213 is an apocalyptic number.

It is an amenable number.

211100021213 is a deficient number, since it is larger than the sum of its proper divisors (1).

211100021213 is an equidigital number, since it uses as much as digits as its factorization.

211100021213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 211100021213 its reverse (312120001112), we get a palindrome (523220022325).

The spelling of 211100021213 in words is "two hundred eleven billion, one hundred million, twenty-one thousand, two hundred thirteen".