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20110010020 = 2251965381043
BaseRepresentation
bin10010101110101001…
…100110011010100100
31220220111112100121221
4102232221212122210
5312141130310040
613123255150124
71311226156552
oct225651463244
956814470557
1020110010020
11858a6381a1
123a92975344
131b86414719
14d8ab60bd2
157ca74b74a
hex4aea666a4

20110010020 has 48 divisors (see below), whose sum is σ = 44522331840. Its totient is φ = 7608871296.

The previous prime is 20110009981. The next prime is 20110010021. The reversal of 20110010020 is 2001001102.

It is a junction number, because it is equal to n+sod(n) for n = 20110009985 and 20110010012.

It is not an unprimeable number, because it can be changed into a prime (20110010021) 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, 207619 + ... + 288661.

It is an arithmetic number, because the mean of its divisors is an integer number (927548580).

Almost surely, 220110010020 is an apocalyptic number.

20110010020 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 20110010020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22261165920).

20110010020 is an abundant number, since it is smaller than the sum of its proper divisors (24412321820).

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

20110010020 is a wasteful number, since it uses less digits than its factorization.

20110010020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81724 (or 81722 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 20110010020 its reverse (2001001102), we get a palindrome (22111011122).

The spelling of 20110010020 in words is "twenty billion, one hundred ten million, ten thousand, twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 380 653 1306 2612 3265 6530 12407 13060 24814 49628 62035 81043 124070 162086 248140 324172 405215 810430 1539817 1620860 3079634 6159268 7699085 15398170 30796340 52921079 105842158 211684316 264605395 529210790 1005500501 1058421580 2011001002 4022002004 5027502505 10055005010 20110010020