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1100202022220 = 225743439141621
BaseRepresentation
bin10000000000101001001…
…001101001010101001100
310220011210222012120010012
4100000221021221111030
5121011203204202340
62201231551332352
7142326013613420
oct20005111512514
93804728176105
101100202022220
113946583a5304
121592875210b8
137c9968bcb52
143b370254b80
151d9435a9565
hex1002926954c

1100202022220 has 96 divisors (see below), whose sum is σ = 2702571734016. Its totient is φ = 368346988800.

The previous prime is 1100202022219. The next prime is 1100202022253. The reversal of 1100202022220 is 222202020011.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 1100202022195 and 1100202022204.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26413010 + ... + 26454630.

It is an arithmetic number, because the mean of its divisors is an integer number (28151788896).

Almost surely, 21100202022220 is an apocalyptic number.

1100202022220 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 1100202022220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1351285867008).

1100202022220 is an abundant number, since it is smaller than the sum of its proper divisors (1602369711796).

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

1100202022220 is a wasteful number, since it uses less digits than its factorization.

1100202022220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46071 (or 46069 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 1100202022220 its reverse (222202020011), we get a palindrome (1322404042231).

The spelling of 1100202022220 in words is "one trillion, one hundred billion, two hundred two million, twenty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 43 70 86 140 172 215 301 430 602 860 1204 1505 3010 4391 6020 8782 17564 21955 30737 41621 43910 61474 83242 87820 122948 153685 166484 188813 208105 291347 307370 377626 416210 582694 614740 755252 832420 944065 1165388 1321691 1456735 1789703 1888130 2643382 2913470 3579406 3776260 5286764 5826940 6608455 7158812 8948515 12527921 13216910 17897030 25055842 26433820 35794060 50111684 62639605 125279210 182757811 250558420 365515622 731031244 913789055 1279304677 1827578110 2558609354 3655156220 5117218708 6396523385 7858585873 12793046770 15717171746 25586093540 31434343492 39292929365 55010101111 78585858730 110020202222 157171717460 220040404444 275050505555 550101011110 1100202022220