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11020100000 = 25557213173
BaseRepresentation
bin10100100001101100…
…10110000110100000
31001110000021002020212
422100312112012200
5140032121200000
65021302553252
7540042206300
oct122066260640
931400232225
1011020100000
114745617268
122176738828
131068144440
14767823600
1544770ec35
hex290d961a0

11020100000 has 432 divisors, whose sum is σ = 34168422456. Its totient is φ = 3467520000.

The previous prime is 11020099991. The next prime is 11020100081. The reversal of 11020100000 is 102011.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 4602808336 + 6417291664 = 67844^2 + 80108^2 .

It is a Harshad number since it is a multiple of its sum of digits (5).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 63699914 + ... + 63700086.

Almost surely, 211020100000 is an apocalyptic number.

11020100000 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 11020100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17084211228).

11020100000 is an abundant number, since it is smaller than the sum of its proper divisors (23148322456).

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

11020100000 is an equidigital number, since it uses as much as digits as its factorization.

11020100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 5.

Adding to 11020100000 its reverse (102011), we get a palindrome (11020202011).

The spelling of 11020100000 in words is "eleven billion, twenty million, one hundred thousand".