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111312313000 = 2353723836673
BaseRepresentation
bin110011110101010111…
…0110001101010101000
3101122022112202101101021
41213222232301222220
53310431423004000
6123045225102224
711020265022610
oct1475256615250
9348275671337
10111312313000
1143230998309
12196a6327974
13a65c356485
14555d5cba40
152d6741b11a
hex19eabb1aa8

111312313000 has 128 divisors (see below), whose sum is σ = 297850475520. Its totient is φ = 38142489600.

The previous prime is 111312312997. The next prime is 111312313001. The reversal of 111312313000 is 313213111.

It is not an unprimeable number, because it can be changed into a prime (111312313001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16677664 + ... + 16684336.

It is an arithmetic number, because the mean of its divisors is an integer number (2326956840).

Almost surely, 2111312313000 is an apocalyptic number.

111312313000 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 111312313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148925237760).

111312313000 is an abundant number, since it is smaller than the sum of its proper divisors (186538162520).

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

111312313000 is a wasteful number, since it uses less digits than its factorization.

111312313000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9084 (or 9070 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 111312313000 its reverse (313213111), we get a palindrome (111625526111).

The spelling of 111312313000 in words is "one hundred eleven billion, three hundred twelve million, three hundred thirteen thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 500 700 875 1000 1400 1750 2383 3500 4766 6673 7000 9532 11915 13346 16681 19064 23830 26692 33362 33365 46711 47660 53384 59575 66724 66730 83405 93422 95320 119150 133448 133460 166810 166825 186844 233555 238300 266920 297875 333620 333650 373688 417025 467110 476600 595750 667240 667300 834050 834125 934220 1167775 1191500 1334600 1668100 1668250 1868440 2085125 2335550 2383000 3336200 3336500 4170250 4671100 5838875 6673000 8340500 9342200 11677750 15901759 16681000 23355500 31803518 46711000 63607036 79508795 111312313 127214072 159017590 222624626 318035180 397543975 445249252 556561565 636070360 795087950 890498504 1113123130 1590175900 1987719875 2226246260 2782807825 3180351800 3975439750 4452492520 5565615650 7950879500 11131231300 13914039125 15901759000 22262462600 27828078250 55656156500 111312313000