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11140240212200 = 2352117115371167
BaseRepresentation
bin1010001000011100101000…
…0011111000000011101000
31110102222220111100121020202
42202013022003320003220
52430010202443242300
635405431122011332
72226566352260621
oct242071203700350
943388814317222
1011140240212200
1136056051a1030
1212bb077aa6b48
1362a69b9ac638
142a7294a52a48
15144bb3529ad5
hexa21ca0f80e8

11140240212200 has 96 divisors (see below), whose sum is σ = 28256494325760. Its totient is φ = 4050882585600.

The previous prime is 11140240212169. The next prime is 11140240212217. The reversal of 11140240212200 is 221204204111.

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

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, 156501017 + ... + 156572183.

It is an arithmetic number, because the mean of its divisors is an integer number (294338482560).

Almost surely, 211140240212200 is an apocalyptic number.

11140240212200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11140240212200 is an abundant number, since it is smaller than the sum of its proper divisors (17116254113560).

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

11140240212200 is a wasteful number, since it uses less digits than its factorization.

11140240212200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142347 (or 142338 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 11140240212200 its reverse (221204204111), we get a palindrome (11361444416311).

The spelling of 11140240212200 in words is "eleven trillion, one hundred forty billion, two hundred forty million, two hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 1100 2200 71153 71167 142306 142334 284612 284668 355765 355835 569224 569336 711530 711670 782683 782837 1423060 1423340 1565366 1565674 1778825 1779175 2846120 2846680 3130732 3131348 3557650 3558350 3913415 3914185 6261464 6262696 7115300 7116700 7826830 7828370 14230600 14233400 15653660 15656740 19567075 19570925 31307320 31313480 39134150 39141850 78268300 78283700 156536600 156567400 5063745551 10127491102 20254982204 25318727755 40509964408 50637455510 55701201061 101274911020 111402402122 126593638775 202549822040 222804804244 253187277550 278506005305 445609608488 506374555100 557012010610 1012749110200 1114024021220 1392530026525 2228048042440 2785060053050 5570120106100 11140240212200