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20110000020 = 223511108728031
BaseRepresentation
bin10010101110101001…
…100011111110010100
31220220111111211220120
4102232221203332110
5312141130000040
613123255031540
71311226115445
oct225651437624
956814454816
1020110000020
11858a630730
123a9296b5b0
131b8640ccc6
14d8ab5b2cc
157ca7487d0
hex4aea63f94

20110000020 has 96 divisors (see below), whose sum is σ = 61485613056. Its totient is φ = 4870492800.

The previous prime is 20110000003. The next prime is 20110000061. The reversal of 20110000020 is 2000001102.

It is a happy number.

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 a junction number, because it is equal to n+sod(n) for n = 20109999963 and 20110000008.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 703405 + ... + 731435.

It is an arithmetic number, because the mean of its divisors is an integer number (640475136).

Almost surely, 220110000020 is an apocalyptic number.

20110000020 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 20110000020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30742806528).

20110000020 is an abundant number, since it is smaller than the sum of its proper divisors (41375613036).

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

20110000020 is a wasteful number, since it uses less digits than its factorization.

20110000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29141 (or 29139 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 20110000020 its reverse (2000001102), we get a palindrome (22110001122).

The spelling of 20110000020 in words is "twenty billion, one hundred ten million, twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 1087 2174 3261 4348 5435 6522 10870 11957 13044 16305 21740 23914 28031 32610 35871 47828 56062 59785 65220 71742 84093 112124 119570 140155 143484 168186 179355 239140 280310 308341 336372 358710 420465 560620 616682 717420 840930 925023 1233364 1541705 1681860 1850046 3083410 3700092 4625115 6166820 9250230 18500460 30469697 60939394 91409091 121878788 152348485 182818182 304696970 335166667 365636364 457045455 609393940 670333334 914090910 1005500001 1340666668 1675833335 1828181820 2011000002 3351666670 4022000004 5027500005 6703333340 10055000010 20110000020