Search a number
-
+
11011112000020 = 225113419987209
BaseRepresentation
bin1010000000111011100101…
…1010110101101000010100
31102222122121022211202200201
42200032321122311220110
52420401224133000040
635230233544150244
72214345422500666
oct240167132655024
942878538752621
1011011112000020
113565871735000
12129a03b168384
1361b4606041b2
142a0d2527c536
15141656ebda9a
hexa03b96b5a14

11011112000020 has 96 divisors (see below), whose sum is σ = 25494658761600. Its totient is φ = 3994480497920.

The previous prime is 11011111999969. The next prime is 11011112000027. The reversal of 11011112000020 is 2000021111011.

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 = 11011111999970 and 11011112000006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11011112000027) 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, 10660176 + ... + 11647384.

It is an arithmetic number, because the mean of its divisors is an integer number (265569362100).

Almost surely, 211011112000020 is an apocalyptic number.

11011112000020 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 11011112000020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12747329380800).

11011112000020 is an abundant number, since it is smaller than the sum of its proper divisors (14483546761580).

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

11011112000020 is a wasteful number, since it uses less digits than its factorization.

11011112000020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 987670 (or 987646 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 11011112000020 its reverse (2000021111011), we get a palindrome (13011133111031).

The spelling of 11011112000020 in words is "eleven trillion, eleven billion, one hundred twelve million, twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 419 484 605 838 1210 1331 1676 2095 2420 2662 4190 4609 5324 6655 8380 9218 13310 18436 23045 26620 46090 50699 92180 101398 202796 253495 506990 557689 987209 1013980 1115378 1974418 2230756 2788445 3948836 4936045 5576890 9872090 10859299 11153780 19744180 21718598 43437196 54296495 108592990 119452289 217185980 238904578 413640571 477809156 597261445 827281142 1194522890 1313975179 1654562284 2068202855 2389045780 2627950358 4136405710 4550046281 5255900716 6569875895 8272811420 9100092562 13139751790 18200185124 22750231405 26279503580 45500462810 50050509091 91000925620 100101018182 200202036364 250252545455 500505090910 550555600001 1001010181820 1101111200002 2202222400004 2752778000005 5505556000010 11011112000020