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211221201001 = 8312720038061
BaseRepresentation
bin1100010010110111000…
…0111100000001101001
3202012012100221202110111
43010231300330001221
511430040111413001
6241011135214321
721155154404506
oct3045560740151
9665170852414
10211221201001
118163a952638
1234b296773a1
1316bc2014a95
14a31a4d24ad
155763659851
hex312dc3c069

211221201001 has 8 divisors (see below), whose sum is σ = 215449242624. Its totient is φ = 207033235920.

The previous prime is 211221200977. The next prime is 211221201041. The reversal of 211221201001 is 100102122112.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 211221201001 - 237 = 73782247529 is a prime.

It is a super-2 number, since 2×2112212010012 (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 (211221201041) 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 in 7 ways as a sum of consecutive naturals, for example, 10008490 + ... + 10029571.

It is an arithmetic number, because the mean of its divisors is an integer number (26931155328).

Almost surely, 2211221201001 is an apocalyptic number.

It is an amenable number.

211221201001 is a deficient number, since it is larger than the sum of its proper divisors (4228041623).

211221201001 is a wasteful number, since it uses less digits than its factorization.

211221201001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20038271.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 211221201001 its reverse (100102122112), we get a palindrome (311323323113).

The spelling of 211221201001 in words is "two hundred eleven billion, two hundred twenty-one million, two hundred one thousand, one".

Divisors: 1 83 127 10541 20038061 1663159063 2544833747 211221201001