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1131222120 = 233571346693
BaseRepresentation
bin100001101101101…
…0001010001101000
32220211121001000120
41003123101101220
54304043101440
6304130003240
740014141450
oct10333212150
92824531016
101131222120
115305aaa16
12276a16520
13150493002
14aa348d60
15694a1dd0
hex436d1468

1131222120 has 64 divisors (see below), whose sum is σ = 3878478720. Its totient is φ = 258564864.

The previous prime is 1131222101. The next prime is 1131222151. The reversal of 1131222120 is 212221311.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1131222120.

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 15 ways as a sum of consecutive naturals, for example, 672507 + ... + 674186.

It is an arithmetic number, because the mean of its divisors is an integer number (60601230).

Almost surely, 21131222120 is an apocalyptic number.

1131222120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1131222120 is an abundant number, since it is smaller than the sum of its proper divisors (2747256600).

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

1131222120 is a wasteful number, since it uses less digits than its factorization.

1131222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1346714 (or 1346710 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 1131222120 is about 33633.6456543147. The cubic root of 1131222120 is about 1041.9557994472.

Adding to 1131222120 its reverse (212221311), we get a palindrome (1343443431).

The spelling of 1131222120 in words is "one billion, one hundred thirty-one million, two hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 1346693 2693386 4040079 5386772 6733465 8080158 9426851 10773544 13466930 16160316 18853702 20200395 26933860 28280553 32320632 37707404 40400790 47134255 53867720 56561106 75414808 80801580 94268510 113122212 141402765 161603160 188537020 226244424 282805530 377074040 565611060 1131222120