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10010122112200 = 2352719736294859
BaseRepresentation
bin1001000110101010100111…
…0001011100110011001000
31022102221212121202211101211
42101222221301130303020
52303001212230042300
633142330413022504
72052131105025430
oct221525161346310
938387777684354
1010010122112200
11320a2a5a72801
121158041784a34
13577c4822c122
142686c759b2c0
151255bd8c24ba
hex91aa9c5ccc8

10010122112200 has 96 divisors (see below), whose sum is σ = 26733342081600. Its totient is φ = 3414620240640.

The previous prime is 10010122112197. The next prime is 10010122112209. The reversal of 10010122112200 is 221122101001.

It is not an unprimeable number, because it can be changed into a prime (10010122112209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17871630 + ... + 18423229.

It is an arithmetic number, because the mean of its divisors is an integer number (278472313350).

Almost surely, 210010122112200 is an apocalyptic number.

10010122112200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10010122112200 is an abundant number, since it is smaller than the sum of its proper divisors (16723219969400).

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

10010122112200 is a wasteful number, since it uses less digits than its factorization.

10010122112200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36295079 (or 36295070 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10010122112200 its reverse (221122101001), we get a palindrome (10231244213201).

The spelling of 10010122112200 in words is "ten trillion, ten billion, one hundred twenty-two million, one hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 197 200 280 350 394 700 788 985 1379 1400 1576 1970 2758 3940 4925 5516 6895 7880 9850 11032 13790 19700 27580 34475 39400 55160 68950 137900 275800 36294859 72589718 145179436 181474295 254064013 290358872 362948590 508128026 725897180 907371475 1016256052 1270320065 1451794360 1814742950 2032512104 2540640130 3629485900 5081280260 6351600325 7150087223 7258971800 10162560520 12703200650 14300174446 25406401300 28600348892 35750436115 50050610561 50812802600 57200697784 71500872230 100101221122 143001744460 178752180575 200202442244 250253052805 286003488920 357504361150 400404884488 500506105610 715008722300 1001012211220 1251265264025 1430017444600 2002024422440 2502530528050 5005061056100 10010122112200