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11022010000200 = 23335241109456727
BaseRepresentation
bin1010000001100100001011…
…1111011010001101001000
31110000200201211100112111000
42200121002333122031020
52421041034030001300
635235235210135000
72215212453122163
oct240310277321510
943020654315430
1011022010000200
11356a454335921
1212a0180a21460
1361c4a9367a04
142a167a79aada
15141a93b10c00
hexa0642fda348

11022010000200 has 384 divisors, whose sum is σ = 39247550496000. Its totient is φ = 2841201100800.

The previous prime is 11022010000153. The next prime is 11022010000219. The reversal of 11022010000200 is 200001022011.

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

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 95 ways as a sum of consecutive naturals, for example, 23904237 + ... + 24360963.

It is an arithmetic number, because the mean of its divisors is an integer number (102207162750).

Almost surely, 211022010000200 is an apocalyptic number.

11022010000200 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 11022010000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19623775248000).

11022010000200 is an abundant number, since it is smaller than the sum of its proper divisors (28225540495800).

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

11022010000200 is a wasteful number, since it uses less digits than its factorization.

11022010000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456902 (or 456887 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 11022010000200 its reverse (200001022011), we get a palindrome (11222011022211).

The spelling of 11022010000200 in words is "eleven trillion, twenty-two billion, ten million, two hundred", and thus it is an aban number.