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211121000010 = 23252467950867
BaseRepresentation
bin1100010010011111001…
…0101100111001001010
3202011221101102000112200
43010213302230321022
511424333434000020
6240553155421030
721152526614364
oct3044762547112
9664841360480
10211121000010
11815993340a8
1234abbbb4776
1316ba733095b
14a30b08bd34
155759965590
hex3127cace4a

211121000010 has 48 divisors (see below), whose sum is σ = 549137680416. Its totient is φ = 56276053344.

The previous prime is 211120999871. The next prime is 211121000021. The reversal of 211121000010 is 10000121112.

It is a happy number.

211121000010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 211120999956 and 211121000001.

It is an unprimeable number.

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 in 23 ways as a sum of consecutive naturals, for example, 253404 + ... + 697463.

It is an arithmetic number, because the mean of its divisors is an integer number (11440368342).

Almost surely, 2211121000010 is an apocalyptic number.

211121000010 is an abundant number, since it is smaller than the sum of its proper divisors (338016680406).

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

211121000010 is a wasteful number, since it uses less digits than its factorization.

211121000010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 953347 (or 953344 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 211121000010 its reverse (10000121112), we get a palindrome (221121121122).

The spelling of 211121000010 in words is "two hundred eleven billion, one hundred twenty-one million, ten", and thus it is an aban number.

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 2467 4934 7401 12335 14802 22203 24670 37005 44406 74010 111015 222030 950867 1901734 2852601 4754335 5705202 8557803 9508670 14263005 17115606 28526010 42789015 85578030 2345788889 4691577778 7037366667 11728944445 14074733334 21112100001 23457888890 35186833335 42224200002 70373666670 105560500005 211121000010