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211221000233 = 412125651993
BaseRepresentation
bin1100010010110111000…
…0001011000000101001
3202012012100120120001122
43010231300023000221
511430040034001413
6241011131025025
721155152610255
oct3045560130051
9665170516048
10211221000233
118163a825811
1234b2959b175
1316bc1c74599
14a31a47d265
15576361a108
hex312dc0b029

211221000233 has 6 divisors (see below), whose sum is σ = 216498385662. Its totient is φ = 206069266880.

The previous prime is 211221000217. The next prime is 211221000253. The reversal of 211221000233 is 332000122112.

It can be written as a sum of positive squares in 3 ways, for example, as 28286866969 + 182934133264 = 168187^2 + 427708^2 .

It is not a de Polignac number, because 211221000233 - 24 = 211221000217 is a prime.

It is a super-2 number, since 2×2112210002332 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (211221000203) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 62824316 + ... + 62827677.

It is an arithmetic number, because the mean of its divisors is an integer number (36083064277).

Almost surely, 2211221000233 is an apocalyptic number.

It is an amenable number.

211221000233 is a deficient number, since it is larger than the sum of its proper divisors (5277385429).

211221000233 is an equidigital number, since it uses as much as digits as its factorization.

211221000233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125652075 (or 125652034 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 211221000233 its reverse (332000122112), we get a palindrome (543221122345).

The spelling of 211221000233 in words is "two hundred eleven billion, two hundred twenty-one million, two hundred thirty-three", and thus it is an aban number.

Divisors: 1 41 1681 125651993 5151731713 211221000233