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11111303001100 = 2252678232015071
BaseRepresentation
bin1010000110110000110101…
…0001001011010000001100
31110100020012210212222011111
42201230031101023100030
52424021422032013400
635344243453101404
72224523306113651
oct241541521132014
943306183788144
1011111303001100
1135a4305967035
1212b5540a87864
13627a39869c13
142a5b0b81bc28
1514406cd863ba
hexa1b0d44b40c

11111303001100 has 72 divisors (see below), whose sum is σ = 24501147603968. Its totient is φ = 4372863105600.

The previous prime is 11111303001049. The next prime is 11111303001131. The reversal of 11111303001100 is 110030311111.

It is a super-2 number, since 2×111113030011002 (a number of 27 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 4506565 + ... + 6521635.

Almost surely, 211111303001100 is an apocalyptic number.

11111303001100 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 11111303001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12250573801984).

11111303001100 is an abundant number, since it is smaller than the sum of its proper divisors (13389844602868).

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

11111303001100 is a wasteful number, since it uses less digits than its factorization.

11111303001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2015975 (or 2015968 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 13.

Adding to 11111303001100 its reverse (110030311111), we get a palindrome (11221333312211).

The spelling of 11111303001100 in words is "eleven trillion, one hundred eleven billion, three hundred three million, one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 67 100 134 268 335 670 823 1340 1646 1675 3292 3350 4115 6700 8230 16460 20575 41150 55141 82300 110282 220564 275705 551410 1102820 1378525 2015071 2757050 4030142 5514100 8060284 10075355 20150710 40301420 50376775 100753550 135009757 201507100 270019514 540039028 675048785 1350097570 1658403433 2700195140 3316806866 3375243925 6633613732 6750487850 8292017165 13500975700 16584034330 33168068660 41460085825 82920171650 111113030011 165840343300 222226060022 444452120044 555565150055 1111130300110 2222260600220 2777825750275 5555651500550 11111303001100