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11001100520 = 2351724167129
BaseRepresentation
bin10100011111011011…
…10111100011101000
31001101200111210212102
422033231313203220
5140012240204040
65015343432532
7536421545234
oct121755674350
931350453772
1011001100520
11473591a713
1221702b5748
131064221547
147650b95c4
15445c0a515
hex28fb778e8

11001100520 has 64 divisors (see below), whose sum is σ = 26317645200. Its totient is φ = 4124344320.

The previous prime is 11001100499. The next prime is 11001100531. The reversal of 11001100520 is 2500110011.

It can be written as a sum of positive squares in 8 ways, for example, as 8677667716 + 2323432804 = 93154^2 + 48202^2 .

It is a super-2 number, since 2×110011005202 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130316 + ... + 197444.

Almost surely, 211001100520 is an apocalyptic number.

11001100520 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 11001100520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13158822600).

11001100520 is an abundant number, since it is smaller than the sum of its proper divisors (15316544680).

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

11001100520 is a wasteful number, since it uses less digits than its factorization.

11001100520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67398 (or 67394 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 11.

Adding to 11001100520 its reverse (2500110011), we get a palindrome (13501210531).

The spelling of 11001100520 in words is "eleven billion, one million, one hundred thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 241 340 482 680 964 1205 1928 2410 4097 4820 8194 9640 16388 20485 32776 40970 67129 81940 134258 163880 268516 335645 537032 671290 1141193 1342580 2282386 2685160 4564772 5705965 9129544 11411930 16178089 22823860 32356178 45647720 64712356 80890445 129424712 161780890 275027513 323561780 550055026 647123560 1100110052 1375137565 2200220104 2750275130 5500550260 11001100520