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1100221122020 = 225291896932969
BaseRepresentation
bin10000000000101010010…
…010100000010111100100
310220011212022010221010012
4100000222102200113210
5121011223101401040
62201233512545352
7142326335143106
oct20005222402744
93804768127105
101100221122020
11394668160269
121592919b2258
137c99a8495c7
143b3729c7576
151d9450cd865
hex1002a4a05e4

1100221122020 has 24 divisors (see below), whose sum is σ = 2390135542200. Its totient is φ = 424912984832.

The previous prime is 1100221122019. The next prime is 1100221122067. The reversal of 1100221122020 is 202211220011.

It can be written as a sum of positive squares in 4 ways, for example, as 73128058084 + 1027093063936 = 270422^2 + 1013456^2 .

It is a super-3 number, since 3×11002211220203 (a number of 37 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1100221121986 and 1100221122004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 948465905 + ... + 948467064.

It is an arithmetic number, because the mean of its divisors is an integer number (99588980925).

Almost surely, 21100221122020 is an apocalyptic number.

1100221122020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1100221122020 is an abundant number, since it is smaller than the sum of its proper divisors (1289914420180).

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

1100221122020 is a wasteful number, since it uses less digits than its factorization.

1100221122020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1896933007 (or 1896933005 counting only the distinct ones).

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

Adding to 1100221122020 its reverse (202211220011), we get a palindrome (1302432342031).

The spelling of 1100221122020 in words is "one trillion, one hundred billion, two hundred twenty-one million, one hundred twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 1896932969 3793865938 7587731876 9484664845 18969329690 37938659380 55011056101 110022112202 220044224404 275055280505 550110561010 1100221122020