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11115315020 = 22517198919333
BaseRepresentation
bin10100101101000011…
…00011111101001100
31001200122102111201002
422112201203331030
5140231010040040
65034543435432
7542306422145
oct122641437514
931618374632
1011115315020
11479433a767
1221a25b5b78
131081aa0ca4
1477632aacc
15450c6ba15
hex296863f4c

11115315020 has 96 divisors (see below), whose sum is σ = 26309707200. Its totient is φ = 3919601664.

The previous prime is 11115315011. The next prime is 11115315047. The reversal of 11115315020 is 2051351111.

It is a happy number.

11115315020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 11115314983 and 11115315001.

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 31 ways as a sum of consecutive naturals, for example, 565274 + ... + 584606.

It is an arithmetic number, because the mean of its divisors is an integer number (274059450).

Almost surely, 211115315020 is an apocalyptic number.

11115315020 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 11115315020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13154853600).

11115315020 is an abundant number, since it is smaller than the sum of its proper divisors (15194392180).

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

11115315020 is a wasteful number, since it uses less digits than its factorization.

11115315020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19467 (or 19465 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 20.

Adding to 11115315020 its reverse (2051351111), we get a palindrome (13166666131).

The spelling of 11115315020 in words is "eleven billion, one hundred fifteen million, three hundred fifteen thousand, twenty".

Divisors: 1 2 4 5 10 17 19 20 34 38 68 76 85 89 95 170 178 190 323 340 356 380 445 646 890 1292 1513 1615 1691 1780 3026 3230 3382 6052 6460 6764 7565 8455 15130 16910 19333 28747 30260 33820 38666 57494 77332 96665 114988 143735 193330 287470 328661 367327 386660 574940 657322 734654 1314644 1469308 1643305 1720637 1836635 3286610 3441274 3673270 6244559 6573220 6882548 7346540 8603185 12489118 17206370 24978236 29250829 31222795 32692103 34412740 58501658 62445590 65384206 117003316 124891180 130768412 146254145 163460515 292508290 326921030 555765751 585016580 653842060 1111531502 2223063004 2778828755 5557657510 11115315020