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20110000000 = 27572011
BaseRepresentation
bin10010101110101001…
…100011111110000000
31220220111111211212211
4102232221203332000
5312141130000000
613123255031504
71311226115416
oct225651437600
956814454784
1020110000000
11858a630712
123a9296b594
131b8640ccac
14d8ab5b2b6
157ca7487ba
hex4aea63f80

20110000000 has 128 divisors (see below), whose sum is σ = 50103387360. Its totient is φ = 8040000000.

The previous prime is 20109999989. The next prime is 20110000003. The reversal of 20110000000 is 1102.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (4).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20110000003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9998995 + ... + 10001005.

Almost surely, 220110000000 is an apocalyptic number.

20110000000 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 20110000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25051693680).

20110000000 is an abundant number, since it is smaller than the sum of its proper divisors (29993387360).

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

20110000000 is an frugal number, since it uses more digits than its factorization.

20110000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2060 (or 2018 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 4.

Adding to 20110000000 its reverse (1102), we get a palindrome (20110001102).

The spelling of 20110000000 in words is "twenty billion, one hundred ten million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 625 640 800 1000 1250 1600 2000 2011 2500 3125 3200 4000 4022 5000 6250 8000 8044 10000 10055 12500 15625 16000 16088 20000 20110 25000 31250 32176 40000 40220 50000 50275 62500 64352 78125 80000 80440 100000 100550 125000 128704 156250 160880 200000 201100 250000 251375 257408 312500 321760 400000 402200 500000 502750 625000 643520 804400 1000000 1005500 1250000 1256875 1287040 1608800 2000000 2011000 2500000 2513750 3217600 4022000 5000000 5027500 6284375 6435200 8044000 10000000 10055000 12568750 16088000 20110000 25137500 31421875 32176000 40220000 50275000 62843750 80440000 100550000 125687500 157109375 160880000 201100000 251375000 314218750 402200000 502750000 628437500 804400000 1005500000 1256875000 2011000000 2513750000 4022000000 5027500000 10055000000 20110000000