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20110110000 = 243541016637
BaseRepresentation
bin10010101110101001…
…111110110100110000
31220220111201102202220
4102232221332310300
5312141142010000
613123301241040
71311230054211
oct225651766460
956814642686
1020110110000
11858a6a6322
123a92a03180
131b8644b096
14d8ab89408
157ca76b1a0
hex4aea7ed30

20110110000 has 200 divisors, whose sum is σ = 65570748144. Its totient is φ = 5308800000.

The previous prime is 20110109983. The next prime is 20110110043. The reversal of 20110110000 is 1101102.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

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 39 ways as a sum of consecutive naturals, for example, 3026682 + ... + 3033318.

Almost surely, 220110110000 is an apocalyptic number.

20110110000 is a gapful number since it is divisible by the number (20) 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 20110110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32785374072).

20110110000 is an abundant number, since it is smaller than the sum of its proper divisors (45460638144).

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

20110110000 is a wasteful number, since it uses less digits than its factorization.

20110110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6769 (or 6748 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 20110110000 its reverse (1101102), we get a palindrome (20111211102).

The spelling of 20110110000 in words is "twenty billion, one hundred ten million, one hundred ten thousand".