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1100122212200 = 2352111129442919
BaseRepresentation
bin10000000000100100011…
…001001100011101101000
310220011121102000210100112
4100000210121030131220
5121011022241242300
62201220020553452
7142324024341224
oct20004431143550
93804542023315
101100122212200
11394617343910
12159264852888
137c9831c809b
143b3637db784
151d93b591e35
hex1002464c768

1100122212200 has 96 divisors (see below), whose sum is σ = 2792787768000. Its totient is φ = 399689203200.

The previous prime is 1100122212187. The next prime is 1100122212223. The reversal of 1100122212200 is 22122210011.

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, 2262341 + ... + 2705259.

It is an arithmetic number, because the mean of its divisors is an integer number (29091539250).

Almost surely, 21100122212200 is an apocalyptic number.

1100122212200 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 1100122212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1396393884000).

1100122212200 is an abundant number, since it is smaller than the sum of its proper divisors (1692665555800).

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

1100122212200 is a wasteful number, since it uses less digits than its factorization.

1100122212200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444075 (or 444066 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1100122212200 its reverse (22122210011), we get a palindrome (1122244422211).

The spelling of 1100122212200 in words is "one trillion, one hundred billion, one hundred twenty-two million, two hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 1100 1129 2200 2258 4516 5645 9032 11290 12419 22580 24838 28225 45160 49676 56450 62095 99352 112900 124190 225800 248380 310475 442919 496760 620950 885838 1241900 1771676 2214595 2483800 3543352 4429190 4872109 8858380 9744218 11072975 17716760 19488436 22145950 24360545 38976872 44291900 48721090 88583800 97442180 121802725 194884360 243605450 487210900 500055551 974421800 1000111102 2000222204 2500277755 4000444408 5000555510 5500611061 10001111020 11001222122 12501388775 20002222040 22002444244 25002777550 27503055305 44004888488 50005555100 55006110610 100011110200 110012221220 137515276525 220024442440 275030553050 550061106100 1100122212200