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10010122022200 = 2352432633442069
BaseRepresentation
bin1001000110101010100111…
…0001000110110100111000
31022102221212121121020221111
42101222221301012310320
52303001212214202300
633142330411050104
72052131104202146
oct221525161066470
938387777536844
1010010122022200
11320a2a5a11123
121158041740934
13577c481ca181
142686c7576596
151255bd8a59ba
hex91aa9c46d38

10010122022200 has 96 divisors (see below), whose sum is σ = 23823877294800. Its totient is φ = 3909437199360.

The previous prime is 10010122022081. The next prime is 10010122022227. The reversal of 10010122022200 is 222022101001.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22422766 + ... + 22864834.

Almost surely, 210010122022200 is an apocalyptic number.

10010122022200 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 10010122022200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11911938647400).

10010122022200 is an abundant number, since it is smaller than the sum of its proper divisors (13813755272600).

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

10010122022200 is a wasteful number, since it uses less digits than its factorization.

10010122022200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444761 (or 444752 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 10010122022200 its reverse (222022101001), we get a palindrome (10232144123201).

The spelling of 10010122022200 in words is "ten trillion, ten billion, one hundred twenty-two million, twenty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 43 50 86 100 172 200 215 344 430 860 1075 1720 2150 2633 4300 5266 8600 10532 13165 21064 26330 52660 65825 105320 113219 131650 226438 263300 442069 452876 526600 566095 884138 905752 1132190 1768276 2210345 2264380 2830475 3536552 4420690 4528760 5660950 8841380 11051725 11321900 17682760 19008967 22103450 22643800 38017934 44206900 76035868 88413800 95044835 152071736 190089670 380179340 475224175 760358680 950448350 1163967677 1900896700 2327935354 3801793400 4655870708 5819838385 9311741416 11639676770 23279353540 29099191925 46558707080 50050610111 58198383850 100101220222 116396767700 200202440444 232793535400 250253050555 400404880888 500506101110 1001012202220 1251265252775 2002024404440 2502530505550 5005061011100 10010122022200