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11312311223100 = 22352190719773311
BaseRepresentation
bin1010010010011101101001…
…0010101100001100111100
31111001110001102022122020110
42210213122102230030330
52440320103133114400
640020445400550020
72245200421604466
oct244473222541474
944043042278213
1011312311223100
113671584857358
12132849a182310
13640991a14754
142b173978b136
151493d4ab2e50
hexa49da4ac33c

11312311223100 has 72 divisors (see below), whose sum is σ = 32747452028928. Its totient is φ = 3015034308800.

The previous prime is 11312311223077. The next prime is 11312311223207. The reversal of 11312311223100 is 132211321311.

It is a super-2 number, since 2×113123112231002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9314556 + ... + 10458755.

It is an arithmetic number, because the mean of its divisors is an integer number (454825722624).

Almost surely, 211312311223100 is an apocalyptic number.

11312311223100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11312311223100 is an abundant number, since it is smaller than the sum of its proper divisors (21435140805828).

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

11312311223100 is a wasteful number, since it uses less digits than its factorization.

11312311223100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19775235 (or 19775228 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 11312311223100 its reverse (132211321311), we get a palindrome (11444522544411).

The spelling of 11312311223100 in words is "eleven trillion, three hundred twelve billion, three hundred eleven million, two hundred twenty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 1907 3814 5721 7628 9535 11442 19070 22884 28605 38140 47675 57210 95350 114420 143025 190700 286050 572100 19773311 39546622 59319933 79093244 98866555 118639866 197733110 237279732 296599665 395466220 494332775 593199330 988665550 1186398660 1482998325 1977331100 2965996650 5931993300 37707704077 75415408154 113123112231 150830816308 188538520385 226246224462 377077040770 452492448924 565615561155 754154081540 942692601925 1131231122310 1885385203850 2262462244620 2828077805775 3770770407700 5656155611550 11312311223100