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211221000234 = 232372331361153
BaseRepresentation
bin1100010010110111000…
…0001011000000101010
3202012012100120120001200
43010231300023000222
511430040034001414
6241011131025030
721155152610256
oct3045560130052
9665170516050
10211221000234
118163a825812
1234b2959b176
1316bc1c7459a
14a31a47d266
15576361a109
hex312dc0b02a

211221000234 has 48 divisors (see below), whose sum is σ = 472031873352. Its totient is φ = 68210049024.

The previous prime is 211221000217. The next prime is 211221000253. The reversal of 211221000234 is 432000122112.

It is a happy number.

211221000234 is a `hidden beast` number, since 211 + 221 + 0 + 0 + 0 + 234 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 199404223209 + 11816777025 = 446547^2 + 108705^2 .

It is a super-2 number, since 2×2112210002342 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 525399 + ... + 835754.

Almost surely, 2211221000234 is an apocalyptic number.

211221000234 is an abundant number, since it is smaller than the sum of its proper divisors (260810873118).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

211221000234 is a wasteful number, since it uses less digits than its factorization.

211221000234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1361431 (or 1361428 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 211221000234 its reverse (432000122112), we get a palindrome (643221122346).

The spelling of 211221000234 in words is "two hundred eleven billion, two hundred twenty-one million, two hundred thirty-four", and thus it is an aban number.

Divisors: 1 2 3 6 9 18 37 74 111 222 233 333 466 666 699 1398 2097 4194 8621 17242 25863 51726 77589 155178 1361153 2722306 4083459 8166918 12250377 24500754 50362661 100725322 151087983 302175966 317148649 453263949 634297298 906527898 951445947 1902891894 2854337841 5708675682 11734500013 23469000026 35203500039 70407000078 105610500117 211221000234