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11222211210 = 2357337158573
BaseRepresentation
bin10100111001110010…
…10101101010001010
31001222002120101201020
422130321111222022
5140440341224320
65053322533310
7545045135640
oct123471255212
931862511636
1011222211210
114839711421
122212367236
13109ac8a682
147865d5190
1545a334940
hex29ce55a8a

11222211210 has 64 divisors (see below), whose sum is σ = 30872454912. Its totient is φ = 2557449216.

The previous prime is 11222211199. The next prime is 11222211239. The reversal of 11222211210 is 1211222211.

11222211210 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11222211210.

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 31 ways as a sum of consecutive naturals, for example, 8517 + ... + 150056.

It is an arithmetic number, because the mean of its divisors is an integer number (482382108).

Almost surely, 211222211210 is an apocalyptic number.

11222211210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11222211210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15436227456).

11222211210 is an abundant number, since it is smaller than the sum of its proper divisors (19650243702).

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

11222211210 is a wasteful number, since it uses less digits than its factorization.

11222211210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158927.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 11222211210 its reverse (1211222211), we get a palindrome (12433433421).

The spelling of 11222211210 in words is "eleven billion, two hundred twenty-two million, two hundred eleven thousand, two hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 337 674 1011 1685 2022 2359 3370 4718 5055 7077 10110 11795 14154 23590 35385 70770 158573 317146 475719 792865 951438 1110011 1585730 2220022 2378595 3330033 4757190 5550055 6660066 11100110 16650165 33300330 53439101 106878202 160317303 267195505 320634606 374073707 534391010 748147414 801586515 1122221121 1603173030 1870368535 2244442242 3740737070 5611105605 11222211210