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11114022312 = 2334105116319
BaseRepresentation
bin10100101100111001…
…01000010110101000
31001200112222211110000
422112130220112220
5140230142203222
65034500023000
7542262426261
oct122634502650
931615884400
1011114022312
114793637508
1221a2091a60
13108173a783
147760b1968
15450ab39ac
hex2967285a8

11114022312 has 80 divisors (see below), whose sum is σ = 31161081600. Its totient is φ = 3700922400.

The previous prime is 11114022301. The next prime is 11114022343. The reversal of 11114022312 is 21322041111.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 672889 + ... + 689207.

It is an arithmetic number, because the mean of its divisors is an integer number (389513520).

Almost surely, 211114022312 is an apocalyptic number.

11114022312 is a gapful number since it is divisible by the number (12) 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 11114022312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15580540800).

11114022312 is an abundant number, since it is smaller than the sum of its proper divisors (20047059288).

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

11114022312 is a wasteful number, since it uses less digits than its factorization.

11114022312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17388 (or 17375 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 11114022312 its reverse (21322041111), we get a palindrome (32436063423).

The spelling of 11114022312 in words is "eleven billion, one hundred fourteen million, twenty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 1051 2102 3153 4204 6306 8408 9459 12612 16319 18918 25224 28377 32638 37836 48957 56754 65276 75672 85131 97914 113508 130552 146871 170262 195828 227016 293742 340524 391656 440613 587484 681048 881226 1174968 1321839 1762452 2643678 3524904 5287356 10574712 17151269 34302538 51453807 68605076 102907614 137210152 154361421 205815228 308722842 411630456 463084263 617445684 926168526 1234891368 1389252789 1852337052 2778505578 3704674104 5557011156 11114022312