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1131130020 = 2235173593089
BaseRepresentation
bin100001101101011…
…1010110010100100
32220211102100200110
41003122322302210
54304032130040
6304124013020
740013306106
oct10332726244
92824370613
101131130020
115305477a9
12276991170
13150460107
14aa323576
1569484980
hex436baca4

1131130020 has 96 divisors (see below), whose sum is σ = 3363897600. Its totient is φ = 283009024.

The previous prime is 1131130019. The next prime is 1131130027. The reversal of 1131130020 is 200311311.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1131129978 and 1131130005.

It is not an unprimeable number, because it can be changed into a prime (1131130027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 364636 + ... + 367724.

It is an arithmetic number, because the mean of its divisors is an integer number (35040600).

Almost surely, 21131130020 is an apocalyptic number.

1131130020 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 1131130020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1681948800).

1131130020 is an abundant number, since it is smaller than the sum of its proper divisors (2232767580).

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

1131130020 is a wasteful number, since it uses less digits than its factorization.

1131130020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3477 (or 3475 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 1131130020 is about 33632.2764617562. The cubic root of 1131130020 is about 1041.9275212597.

Adding to 1131130020 its reverse (200311311), we get a palindrome (1331441331).

The spelling of 1131130020 in words is "one billion, one hundred thirty-one million, one hundred thirty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 359 510 718 1020 1077 1436 1795 2154 3089 3590 4308 5385 6103 6178 7180 9267 10770 12206 12356 15445 18309 18534 21540 24412 30515 30890 36618 37068 46335 52513 61030 61780 73236 91545 92670 105026 122060 157539 183090 185340 210052 262565 315078 366180 525130 630156 787695 1050260 1108951 1575390 2217902 3150780 3326853 4435804 5544755 6653706 11089510 13307412 16634265 18852167 22179020 33268530 37704334 56556501 66537060 75408668 94260835 113113002 188521670 226226004 282782505 377043340 565565010 1131130020