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11020100122200 = 233521353101263933
BaseRepresentation
bin1010000001011101000100…
…1001110011011001011000
31110000111210201120200101210
42200113101021303121120
52421023131112402300
635234321502543120
72215114232331561
oct240272111633130
943014721520353
1011020100122200
113569664253254
12129b929297aa0
1361c263785ca0
142a1538c81168
151419d1101050
hexa05d1273658

11020100122200 has 384 divisors, whose sum is σ = 37855610210880. Its totient is φ = 2635097088000.

The previous prime is 11020100122159. The next prime is 11020100122201. The reversal of 11020100122200 is 222100102011.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11020100122201) by changing a digit.

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, 41621434 + ... + 41885366.

Almost surely, 211020100122200 is an apocalyptic number.

11020100122200 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 11020100122200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18927805105440).

11020100122200 is an abundant number, since it is smaller than the sum of its proper divisors (26835510088680).

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

11020100122200 is a wasteful number, since it uses less digits than its factorization.

11020100122200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264119 (or 264110 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 11020100122200 its reverse (222100102011), we get a palindrome (11242200224211).

The spelling of 11020100122200 in words is "eleven trillion, twenty billion, one hundred million, one hundred twenty-two thousand, two hundred".