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1001221201110 = 2351319237974363
BaseRepresentation
bin11101001000111010110…
…11110001110011010110
310112201022211022212110210
432210131123301303112
5112401000111413420
62043542113030250
7132223123535064
oct16443533616326
93481284285423
101001221201110
113566852a2409
12142062b55386
13735512a4050
14366606d5034
151b09da8d9e0
hexe91d6f1cd6

1001221201110 has 256 divisors, whose sum is σ = 2878422220800. Its totient is φ = 220501771776.

The previous prime is 1001221201103. The next prime is 1001221201111. The reversal of 1001221201110 is 111021221001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001221201111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13426789 + ... + 13501151.

It is an arithmetic number, because the mean of its divisors is an integer number (11243836800).

Almost surely, 21001221201110 is an apocalyptic number.

1001221201110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1001221201110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1439211110400).

1001221201110 is an abundant number, since it is smaller than the sum of its proper divisors (1877201019690).

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

1001221201110 is a wasteful number, since it uses less digits than its factorization.

1001221201110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74507.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1001221201110 its reverse (111021221001), we get a palindrome (1112242422111).

The spelling of 1001221201110 in words is "one trillion, one billion, two hundred twenty-one million, two hundred one thousand, one hundred ten".