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20110100000 = 2555201101
BaseRepresentation
bin10010101110101001…
…111100011000100000
31220220111200221001112
4102232221330120200
5312141141200000
613123301122452
71311230013104
oct225651743040
956814627045
1020110100000
11858a699861
123a929b9428
131b86446673
14d8ab85904
157ca768235
hex4aea7c620

20110100000 has 72 divisors (see below), whose sum is σ = 49486777956. Its totient is φ = 8044000000.

The previous prime is 20110099939. The next prime is 20110100009. The reversal of 20110100000 is 101102.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 6777240976 + 13332859024 = 82324^2 + 115468^2 .

It is a super-2 number, since 2×201101000002 (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (20110100009) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 551 + ... + 200550.

Almost surely, 220110100000 is an apocalyptic number.

20110100000 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 20110100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24743388978).

20110100000 is an abundant number, since it is smaller than the sum of its proper divisors (29376677956).

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

20110100000 is an frugal number, since it uses more digits than its factorization.

20110100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201136 (or 201108 counting only the distinct ones).

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

Adding to 20110100000 its reverse (101102), we get a palindrome (20110201102).

The spelling of 20110100000 in words is "twenty billion, one hundred ten million, one hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 3125 4000 5000 6250 10000 12500 20000 25000 50000 100000 201101 402202 804404 1005505 1608808 2011010 3217616 4022020 5027525 6435232 8044040 10055050 16088080 20110100 25137625 32176160 40220200 50275250 80440400 100550500 125688125 160880800 201101000 251376250 402202000 502752500 628440625 804404000 1005505000 1256881250 2011010000 2513762500 4022020000 5027525000 10055050000 20110100000