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22211120100 = 22352135695159
BaseRepresentation
bin10100101011111000…
…101100101111100100
32010022221010210210210
4110223320230233210
5330442021320400
614111553215420
71414261256121
oct245370545744
963287123723
1022211120100
119468664304
12437a561570
13212c800920
141109c19748
1589ee32950
hex52be2cbe4

22211120100 has 72 divisors (see below), whose sum is σ = 69207584320. Its totient is φ = 5467351680.

The previous prime is 22211120059. The next prime is 22211120119. The reversal of 22211120100 is 102111222.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2843680 + ... + 2851479.

Almost surely, 222211120100 is an apocalyptic number.

22211120100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22211120100 is an abundant number, since it is smaller than the sum of its proper divisors (46996464220).

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

22211120100 is a wasteful number, since it uses less digits than its factorization.

22211120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5695189 (or 5695182 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 22211120100 its reverse (102111222), we get a palindrome (22313231322).

It can be divided in two parts, 22211 and 120100, that added together give a triangular number (142311 = T533).

The spelling of 22211120100 in words is "twenty-two billion, two hundred eleven million, one hundred twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 195 260 300 325 390 650 780 975 1300 1950 3900 5695159 11390318 17085477 22780636 28475795 34170954 56951590 68341908 74037067 85427385 113903180 142378975 148074134 170854770 222111201 284757950 296148268 341709540 370185335 427136925 444222402 569515900 740370670 854273850 888444804 1110556005 1480741340 1708547700 1850926675 2221112010 3701853350 4442224020 5552780025 7403706700 11105560050 22211120100