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2101222233200 = 245223929245849
BaseRepresentation
bin11110100100111010100…
…110101101010001110000
321102212121210100001222002
4132210322212231101300
5233411300342430300
64245142124433132
7304544150201456
oct36447246552160
97385553301862
102101222233200
1174013a198872
1229b2930a87a8
131231b535100c
14739b1d8a9d6
15399ce6955d5
hex1e93a9ad470

2101222233200 has 120 divisors (see below), whose sum is σ = 5273364492000. Its totient is φ = 803077242880.

The previous prime is 2101222233197. The next prime is 2101222233221. The reversal of 2101222233200 is 23322221012.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 8423876 + ... + 8669724.

It is an arithmetic number, because the mean of its divisors is an integer number (43944704100).

Almost surely, 22101222233200 is an apocalyptic number.

2101222233200 is a gapful number since it is divisible by the number (20) 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 2101222233200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2636682246000).

2101222233200 is an abundant number, since it is smaller than the sum of its proper divisors (3172142258800).

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

2101222233200 is a wasteful number, since it uses less digits than its factorization.

2101222233200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246819 (or 246808 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 2101222233200 its reverse (23322221012), we get a palindrome (2124544454212).

The spelling of 2101222233200 in words is "two trillion, one hundred one billion, two hundred twenty-two million, two hundred thirty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 23 25 40 46 50 80 92 100 115 184 200 230 368 400 460 575 920 929 1150 1840 1858 2300 3716 4600 4645 7432 9200 9290 14864 18580 21367 23225 37160 42734 46450 74320 85468 92900 106835 170936 185800 213670 245849 341872 371600 427340 491698 534175 854680 983396 1068350 1229245 1709360 1966792 2136700 2458490 3933584 4273400 4916980 5654527 6146225 8546800 9833960 11309054 12292450 19667920 22618108 24584900 28272635 45236216 49169800 56545270 90472432 98339600 113090540 141363175 226181080 228393721 282726350 452362160 456787442 565452700 913574884 1130905400 1141968605 1827149768 2261810800 2283937210 3654299536 4567874420 5253055583 5709843025 9135748840 10506111166 11419686050 18271497680 21012222332 22839372100 26265277915 42024444664 45678744200 52530555830 84048889328 91357488400 105061111660 131326389575 210122223320 262652779150 420244446640 525305558300 1050611116600 2101222233200