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11131240020 = 22357311292251
BaseRepresentation
bin10100101110111100…
…10011111001010100
31001201202101120200220
422113132103321110
5140244044140040
65040313034340
7542561656545
oct122736237124
931652346626
1011131240020
1147a232741a
1221a79b59b0
131085188674
147784b44cc
154523652d0
hex297793e54

11131240020 has 96 divisors (see below), whose sum is σ = 31636456320. Its totient is φ = 2923776000.

The previous prime is 11131240013. The next prime is 11131240039. The reversal of 11131240020 is 2004213111.

It is a super-3 number, since 3×111312400203 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4943895 + ... + 4946145.

It is an arithmetic number, because the mean of its divisors is an integer number (329546420).

Almost surely, 211131240020 is an apocalyptic number.

11131240020 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 11131240020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15818228160).

11131240020 is an abundant number, since it is smaller than the sum of its proper divisors (20505216300).

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

11131240020 is a wasteful number, since it uses less digits than its factorization.

11131240020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3465 (or 3463 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 11131240020 its reverse (2004213111), we get a palindrome (13135453131).

The spelling of 11131240020 in words is "eleven billion, one hundred thirty-one million, two hundred forty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 73 146 219 292 365 438 730 876 1095 1129 1460 2190 2251 2258 3387 4380 4502 4516 5645 6753 6774 9004 11255 11290 13506 13548 16935 22510 22580 27012 33765 33870 45020 67530 67740 82417 135060 164323 164834 247251 328646 329668 412085 492969 494502 657292 821615 824170 985938 989004 1236255 1643230 1648340 1971876 2464845 2472510 2541379 3286460 4929690 4945020 5082758 7624137 9859380 10165516 12706895 15248274 25413790 30496548 38120685 50827580 76241370 152482740 185520667 371041334 556562001 742082668 927603335 1113124002 1855206670 2226248004 2782810005 3710413340 5565620010 11131240020