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22000112002000 = 2453114801208291
BaseRepresentation
bin1010000000010010011001…
…10111000110001111010000
32212220012010122001122111001
411000021030313012033100
510340422212133031000
6114442413435431344
74430312166360256
oct500111467061720
985805118048431
1022000112002000
117012216757660
122573928bb5554
13c377a8b01782
14560b4d9445d6
15282417ad946a
hex14024cdc63d0

22000112002000 has 160 divisors (see below), whose sum is σ = 58044661653888. Its totient is φ = 7998336000000.

The previous prime is 22000112001971. The next prime is 22000112002003. The reversal of 22000112002000 is 20021100022.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22000112002003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 105517855 + ... + 105726145.

Almost surely, 222000112002000 is an apocalyptic number.

22000112002000 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 22000112002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29022330826944).

22000112002000 is an abundant number, since it is smaller than the sum of its proper divisors (36044549651888).

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

22000112002000 is a wasteful number, since it uses less digits than its factorization.

22000112002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213126 (or 213110 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 22000112002000 its reverse (20021100022), we get a palindrome (22020133102022).

The spelling of 22000112002000 in words is "twenty-two trillion, one hundred twelve million, two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 880 1000 1100 1375 2000 2200 2750 4400 4801 5500 9602 11000 19204 22000 24005 38408 48010 52811 76816 96020 105622 120025 192040 208291 211244 240050 264055 384080 416582 422488 480100 528110 600125 833164 844976 960200 1041455 1056220 1200250 1320275 1666328 1920400 2082910 2112440 2291201 2400500 2640550 3332656 4165820 4224880 4582402 4801000 5207275 5281100 6601375 8331640 9164804 9602000 10414550 10562200 11456005 13202750 16663280 18329608 20829100 21124400 22912010 26036375 26405500 36659216 41658200 45824020 52072750 52811000 57280025 83316400 91648040 104145500 105622000 114560050 183296080 208291000 229120100 286400125 416582000 458240200 572800250 916480400 1000005091 1145600500 2000010182 2291201000 4000020364 4582402000 5000025455 8000040728 10000050910 11000056001 16000081456 20000101820 22000112002 25000127275 40000203640 44000224004 50000254550 55000280005 80000407280 88000448008 100000509100 110000560010 125000636375 176000896016 200001018200 220001120020 250001272750 275001400025 400002036400 440002240040 500002545500 550002800050 880004480080 1000005091000 1100005600100 1375007000125 2000010182000 2200011200200 2750014000250 4400022400400 5500028000500 11000056001000 22000112002000