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10112221200 = 2435279106669
BaseRepresentation
bin10010110101011110…
…00100000000010000
3222002201221001200010
421122233010000100
5131202212034300
64351231554520
7505406314314
oct113257040020
928081831603
1010112221200
11431a0a3504
121b6268ba40
13c5201c853
146bd015b44
153e2b78a50
hex25abc4010

10112221200 has 120 divisors (see below), whose sum is σ = 32803158400. Its totient is φ = 2662433280.

The previous prime is 10112221199. The next prime is 10112221237. The reversal of 10112221200 is 212221101.

It is a tau number, because it is divible by the number of its divisors (120).

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

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, 41466 + ... + 148134.

Almost surely, 210112221200 is an apocalyptic number.

10112221200 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 10112221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16401579200).

10112221200 is an abundant number, since it is smaller than the sum of its proper divisors (22690937200).

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

10112221200 is a wasteful number, since it uses less digits than its factorization.

10112221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106769 (or 106758 counting only the distinct ones).

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

Adding to 10112221200 its reverse (212221101), we get a palindrome (10324442301).

Subtracting from 10112221200 its reverse (212221101), we obtain a palindrome (9900000099).

The spelling of 10112221200 in words is "ten billion, one hundred twelve million, two hundred twenty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 79 80 100 120 150 158 200 237 240 300 316 395 400 474 600 632 790 948 1185 1200 1264 1580 1896 1975 2370 3160 3792 3950 4740 5925 6320 7900 9480 11850 15800 18960 23700 31600 47400 94800 106669 213338 320007 426676 533345 640014 853352 1066690 1280028 1600035 1706704 2133380 2560056 2666725 3200070 4266760 5120112 5333450 6400140 8000175 8426851 8533520 10666900 12800280 16000350 16853702 21333800 25280553 25600560 32000700 33707404 42134255 42667600 50561106 64001400 67414808 84268510 101122212 126402765 128002800 134829616 168537020 202244424 210671275 252805530 337074040 404488848 421342550 505611060 632013825 674148080 842685100 1011222120 1264027650 1685370200 2022444240 2528055300 3370740400 5056110600 10112221200