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10000110012200 = 2352721192765399
BaseRepresentation
bin1001000110000101010100…
…0000010100011100101000
31022102000000212020110012022
42101201111000110130220
52302320211130342300
633133553115004012
72051325022416500
oct221412500243450
938360025213168
1010000110012200
1132060284438a0
121156108739608
13577010b962b9
142680179a8a00
151251d4924285
hex91855014728

10000110012200 has 144 divisors (see below), whose sum is σ = 29504963124000. Its totient is φ = 3116917372800.

The previous prime is 10000110012181. The next prime is 10000110012223. The reversal of 10000110012200 is 221001100001.

It is a super-2 number, since 2×100001100122002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 46274900 + ... + 46490499.

It is an arithmetic number, because the mean of its divisors is an integer number (204895577250).

Almost surely, 210000110012200 is an apocalyptic number.

10000110012200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10000110012200 is an abundant number, since it is smaller than the sum of its proper divisors (19504853111800).

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

10000110012200 is a wasteful number, since it uses less digits than its factorization.

10000110012200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92765440 (or 92765424 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 10000110012200 its reverse (221001100001), we get a palindrome (10221111112201).

The spelling of 10000110012200 in words is "ten trillion, one hundred ten million, twelve thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 25 28 35 40 44 49 50 55 56 70 77 88 98 100 110 140 154 175 196 200 220 245 275 280 308 350 385 392 440 490 539 550 616 700 770 980 1078 1100 1225 1400 1540 1925 1960 2156 2200 2450 2695 3080 3850 4312 4900 5390 7700 9800 10780 13475 15400 21560 26950 53900 107800 92765399 185530798 371061596 463826995 649357793 742123192 927653990 1020419389 1298715586 1855307980 2040838778 2319134975 2597431172 3246788965 3710615960 4081677556 4545504551 4638269950 5102096945 5194862344 6493577930 7142935723 8163355112 9091009102 9276539900 10204193890 12987155860 14285871446 16233944825 18182018204 18553079800 20408387780 22727522755 25510484725 25974311720 28571742892 32467889650 35714678615 36364036408 40816775560 45455045510 50000550061 51020969450 57143485784 64935779300 71429357230 90910091020 100001100122 102041938900 113637613775 129871558600 142858714460 178573393075 181820182040 200002200244 204083877800 227275227550 250002750305 285717428920 357146786150 400004400488 454550455100 500005500610 714293572300 909100910200 1000011001220 1250013751525 1428587144600 2000022002440 2500027503050 5000055006100 10000110012200