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1122102020 = 225134315777
BaseRepresentation
bin100001011100001…
…1110101100000100
32220012102200121002
41002320132230010
54244224231040
6303202312432
736543465314
oct10270365404
92805380532
101122102020
11526440946
12273958718
1314b61bac0
14a9053444
156879ea15
hex42e1eb04

1122102020 has 24 divisors (see below), whose sum is σ = 2537677464. Its totient is φ = 414314496.

The previous prime is 1122102001. The next prime is 1122102029. The reversal of 1122102020 is 202012211.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 12945604 + 1109156416 = 3598^2 + 33304^2 .

It is a super-2 number, since 2×11221020202 = 2518225886576160800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1122101992 and 1122102010.

It is not an unprimeable number, because it can be changed into a prime (1122102029) by changing a digit.

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, 2157629 + ... + 2158148.

It is an arithmetic number, because the mean of its divisors is an integer number (105736561).

Almost surely, 21122102020 is an apocalyptic number.

1122102020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1122102020 is an abundant number, since it is smaller than the sum of its proper divisors (1415575444).

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

1122102020 is a wasteful number, since it uses less digits than its factorization.

1122102020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4315799 (or 4315797 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 1122102020 is about 33497.7912704704. The cubic root of 1122102020 is about 1039.1481004474.

Adding to 1122102020 its reverse (202012211), we get a palindrome (1324114231).

The spelling of 1122102020 in words is "one billion, one hundred twenty-two million, one hundred two thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 4315777 8631554 17263108 21578885 43157770 56105101 86315540 112210202 224420404 280525505 561051010 1122102020