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1012221221100 = 223523791191101
BaseRepresentation
bin11101011101011010001…
…01100001100011101100
310120202201102210210010120
432232231011201203230
5113041012113033400
62053001421404540
7133062533263155
oct16565505414354
93522642723116
101012221221100
1136030a544221
12144212a09750
13745b520780b
1436dc55ac92c
151b4e4633ca0
hexebad1618ec

1012221221100 has 72 divisors (see below), whose sum is σ = 3007847308368. Its totient is φ = 262630368000.

The previous prime is 1012221221093. The next prime is 1012221221129. The reversal of 1012221221100 is 11221222101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1012221221100.

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, 45584451 + ... + 45606650.

Almost surely, 21012221221100 is an apocalyptic number.

1012221221100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1012221221100 is an abundant number, since it is smaller than the sum of its proper divisors (1995626087268).

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

1012221221100 is a wasteful number, since it uses less digits than its factorization.

1012221221100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91191155 (or 91191148 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 1012221221100 its reverse (11221222101), we get a palindrome (1023442443201).

It can be divided in two parts, 1012221 and 221100, that added together give a palindrome (1233321).

The spelling of 1012221221100 in words is "one trillion, twelve billion, two hundred twenty-one million, two hundred twenty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 50 60 74 75 100 111 148 150 185 222 300 370 444 555 740 925 1110 1850 2220 2775 3700 5550 11100 91191101 182382202 273573303 364764404 455955505 547146606 911911010 1094293212 1367866515 1823822020 2279777525 2735733030 3374070737 4559555050 5471466060 6748141474 6839332575 9119110100 10122212211 13496282948 13678665150 16870353685 20244424422 27357330300 33740707370 40488848844 50611061055 67481414740 84351768425 101222122110 168703536850 202444244220 253055305275 337407073700 506110610550 1012221221100