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1130211002120 = 23559522791621
BaseRepresentation
bin10000011100100101110…
…100110100011100001000
311000001021100101200121012
4100130211310310130020
5122004133004031440
62223113424103052
7144440453002634
oct20344564643410
94001240350535
101130211002120
113a6357712042
12163061464a88
1382769aaa3a5
143c9b9959dc4
151e5ecda8e65
hex10725d34708

1130211002120 has 64 divisors (see below), whose sum is σ = 2586599006400. Its totient is φ = 444332079360.

The previous prime is 1130211002033. The next prime is 1130211002143. The reversal of 1130211002120 is 212001120311.

It is a junction number, because it is equal to n+sod(n) for n = 1130211002095 and 1130211002104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12289910 + ... + 12381530.

It is an arithmetic number, because the mean of its divisors is an integer number (40415609475).

Almost surely, 21130211002120 is an apocalyptic number.

1130211002120 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 1130211002120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1293299503200).

1130211002120 is an abundant number, since it is smaller than the sum of its proper divisors (1456388004280).

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

1130211002120 is a wasteful number, since it uses less digits than its factorization.

1130211002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96918 (or 96914 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 1130211002120 its reverse (212001120311), we get a palindrome (1342212122431).

The spelling of 1130211002120 in words is "one trillion, one hundred thirty billion, two hundred eleven million, two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 59 118 236 295 472 590 1180 2360 5227 10454 20908 26135 41816 52270 91621 104540 183242 209080 308393 366484 458105 616786 732968 916210 1233572 1541965 1832420 2467144 3083930 3664840 5405639 6167860 10811278 12335720 21622556 27028195 43245112 54056390 108112780 216225560 478902967 957805934 1915611868 2394514835 3831223736 4789029670 9578059340 19156118680 28255275053 56510550106 113021100212 141276375265 226042200424 282552750530 565105501060 1130211002120