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211221000253 is a prime number
BaseRepresentation
bin1100010010110111000…
…0001011000000111101
3202012012100120120002101
43010231300023000331
511430040034002003
6241011131025101
721155152610314
oct3045560130075
9665170516071
10211221000253
118163a82582a
1234b2959b191
1316bc1c745b3
14a31a47d27b
15576361a11d
hex312dc0b03d

211221000253 has 2 divisors, whose sum is σ = 211221000254. Its totient is φ = 211221000252.

The previous prime is 211221000217. The next prime is 211221000283. The reversal of 211221000253 is 352000122112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 203254902244 + 7966098009 = 450838^2 + 89253^2 .

It is a cyclic number.

It is not a de Polignac number, because 211221000253 - 221 = 211218903101 is a prime.

It is a super-2 number, since 2×2112210002532 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 211221000253.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (211221000203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105610500126 + 105610500127.

It is an arithmetic number, because the mean of its divisors is an integer number (105610500127).

Almost surely, 2211221000253 is an apocalyptic number.

It is an amenable number.

211221000253 is a deficient number, since it is larger than the sum of its proper divisors (1).

211221000253 is an equidigital number, since it uses as much as digits as its factorization.

211221000253 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 240, while the sum is 19.

Adding to 211221000253 its reverse (352000122112), we get a palindrome (563221122365).

The spelling of 211221000253 in words is "two hundred eleven billion, two hundred twenty-one million, two hundred fifty-three", and thus it is an aban number.