Search a number
-
+
20110220020 = 225113723910337
BaseRepresentation
bin10010101110101010…
…011001101011110100
31220220111221000200201
4102232222121223310
5312141204020040
613123303450244
71311231023032
oct225652315364
956814830621
1020110220020
11858a770a50
123a92a56984
131b86489197
14d8abb7552
157ca78da9a
hex4aea99af4

20110220020 has 96 divisors (see below), whose sum is σ = 47518410240. Its totient is φ = 7084707840.

The previous prime is 20110219991. The next prime is 20110220021. The reversal of 20110220020 is 2002201102.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 20110219979 and 20110220006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20110220021) by changing a digit.

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, 1940292 + ... + 1950628.

It is an arithmetic number, because the mean of its divisors is an integer number (494983440).

Almost surely, 220110220020 is an apocalyptic number.

20110220020 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 20110220020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23759205120).

20110220020 is an abundant number, since it is smaller than the sum of its proper divisors (27408190220).

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

20110220020 is a wasteful number, since it uses less digits than its factorization.

20110220020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10633 (or 10631 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 20110220020 its reverse (2002201102), we get a palindrome (22112421122).

It can be divided in two parts, 201102 and 20020, that added together give a palindrome (221122).

The spelling of 20110220020 in words is "twenty billion, one hundred ten million, two hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 37 44 55 74 110 148 185 220 239 370 407 478 740 814 956 1195 1628 2035 2390 2629 4070 4780 5258 8140 8843 10337 10516 13145 17686 20674 26290 35372 41348 44215 51685 52580 88430 97273 103370 113707 176860 194546 206740 227414 382469 389092 454828 486365 568535 764938 972730 1137070 1529876 1912345 1945460 2274140 2470543 3824690 4207159 4941086 7649380 8414318 9882172 12352715 16828636 21035795 24705430 27175973 42071590 49410860 54351946 84143180 91410091 108703892 135879865 182820182 271759730 365640364 457050455 543519460 914100910 1005511001 1828201820 2011022002 4022044004 5027555005 10055110010 20110220020