Search a number
-
+
12101002220 = 22517214914051
BaseRepresentation
bin10110100010100011…
…01010001111101100
31011020100011121100102
423101101222033230
5144240324032340
65320434250232
7605605551566
oct132121521754
934210147312
1012101002220
11514a77808a
122418726978
1311ab069558
1482b1d0336
154ac572215
hex2d146a3ec

12101002220 has 72 divisors (see below), whose sum is σ = 27177973200. Its totient is φ = 4524774400.

The previous prime is 12101002219. The next prime is 12101002267. The reversal of 12101002220 is 2220010121.

It is a happy number.

12101002220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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, 854195 + ... + 868245.

It is an arithmetic number, because the mean of its divisors is an integer number (377471850).

Almost surely, 212101002220 is an apocalyptic number.

12101002220 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 12101002220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13588986600).

12101002220 is an abundant number, since it is smaller than the sum of its proper divisors (15076970980).

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

12101002220 is a wasteful number, since it uses less digits than its factorization.

12101002220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14243 (or 14224 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 12101002220 its reverse (2220010121), we get a palindrome (14321012341).

The spelling of 12101002220 in words is "twelve billion, one hundred one million, two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 149 170 289 298 340 578 596 745 1156 1445 1490 2533 2890 2980 5066 5780 10132 12665 14051 25330 28102 43061 50660 56204 70255 86122 140510 172244 215305 238867 281020 430610 477734 861220 955468 1194335 2093599 2388670 4060739 4187198 4777340 8121478 8374396 10467995 16242956 20303695 20935990 35591183 40607390 41871980 71182366 81214780 142364732 177955915 355911830 605050111 711823660 1210100222 2420200444 3025250555 6050501110 12101002220