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1131020020 = 225134350077
BaseRepresentation
bin100001101101001…
…1111111011110100
32220211012202210101
41003122133323310
54304020120040
6304121403444
740012340314
oct10332377364
92824182711
101131020020
11530482099
12276939584
13150422020
14aa2d5444
156946209a
hex4369fef4

1131020020 has 24 divisors (see below), whose sum is σ = 2557845864. Its totient is φ = 417607296.

The previous prime is 1131020003. The next prime is 1131020021. The reversal of 1131020020 is 200201311.

It can be written as a sum of positive squares in 4 ways, for example, as 64866916 + 1066153104 = 8054^2 + 32652^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1131019979 and 1131020006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1131020021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2174779 + ... + 2175298.

It is an arithmetic number, because the mean of its divisors is an integer number (106576911).

Almost surely, 21131020020 is an apocalyptic number.

1131020020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1131020020 is an abundant number, since it is smaller than the sum of its proper divisors (1426825844).

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

1131020020 is a wasteful number, since it uses less digits than its factorization.

1131020020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4350099 (or 4350097 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 1131020020 is about 33630.6410881505. The cubic root of 1131020020 is about 1041.8937450828.

Adding to 1131020020 its reverse (200201311), we get a palindrome (1331221331).

The spelling of 1131020020 in words is "one billion, one hundred thirty-one million, twenty thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 4350077 8700154 17400308 21750385 43500770 56551001 87001540 113102002 226204004 282755005 565510010 1131020020