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11001221100 = 223252313710657
BaseRepresentation
bin10100011111011100…
…10100111111101100
31001101200201221021100
422033232110333230
5140012303033400
65015350203100
7536422556622
oct121756247754
931350657240
1011001221100
1147359a2271
122170353490
1310642643ac
1476510b512
15445c31100
hex28fb94fec

11001221100 has 216 divisors, whose sum is σ = 36560521088. Its totient is φ = 2762035200.

The previous prime is 11001221089. The next prime is 11001221111. The reversal of 11001221100 is 112210011.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11001221089) and next prime (11001221111).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1026972 + ... + 1037628.

Almost surely, 211001221100 is an apocalyptic number.

11001221100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11001221100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18280260544).

11001221100 is an abundant number, since it is smaller than the sum of its proper divisors (25559299988).

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

11001221100 is a wasteful number, since it uses less digits than its factorization.

11001221100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10745 (or 10735 counting only the distinct ones).

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

Adding to 11001221100 its reverse (112210011), we get a palindrome (11113431111).

The spelling of 11001221100 in words is "eleven billion, one million, two hundred twenty-one thousand, one hundred".