Search a number
-
+
12020020100 = 225211101108191
BaseRepresentation
bin10110011000111001…
…01111001110000100
31011000200210021202122
423030130233032010
5144104111120400
65304422425112
7603603325244
oct131434571604
934020707678
1012020020100
115108a96010
1223b5592198
13119735413a
1482054db24
154a53c7685
hex2cc72f384

12020020100 has 72 divisors (see below), whose sum is σ = 28736660736. Its totient is φ = 4327600000.

The previous prime is 12020020099. The next prime is 12020020109. The reversal of 12020020100 is 102002021.

12020020100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (12020020109) 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 23 ways as a sum of consecutive naturals, for example, 57005 + ... + 165195.

It is an arithmetic number, because the mean of its divisors is an integer number (399120288).

Almost surely, 212020020100 is an apocalyptic number.

12020020100 is a gapful number since it is divisible by the number (10) 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 12020020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14368330368).

12020020100 is an abundant number, since it is smaller than the sum of its proper divisors (16716640636).

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

12020020100 is a wasteful number, since it uses less digits than its factorization.

12020020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108317 (or 108310 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 12020020100 its reverse (102002021), we get a palindrome (12122022121).

The spelling of 12020020100 in words is "twelve billion, twenty million, twenty thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 101 110 202 220 275 404 505 550 1010 1100 1111 2020 2222 2525 4444 5050 5555 10100 11110 22220 27775 55550 108191 111100 216382 432764 540955 1081910 1190101 2163820 2380202 2704775 4760404 5409550 5950505 10819100 10927291 11901010 21854582 23802020 29752525 43709164 54636455 59505050 109272910 119010100 120200201 218545820 240400402 273182275 480800804 546364550 601001005 1092729100 1202002010 2404004020 3005005025 6010010050 12020020100