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112313004000 = 253539359417
BaseRepresentation
bin110100010011001100…
…0000110111111100000
3101201220021201202100220
41220212120012333200
53320004112112000
6123332413243040
711054135532231
oct1504630067740
9351807652326
10112313004000
11436a484326a
1219925493480
13a78b776022
145616479088
152dc51d71a0
hex1a26606fe0

112313004000 has 96 divisors (see below), whose sum is σ = 367937440416. Its totient is φ = 29950131200.

The previous prime is 112313003989. The next prime is 112313004017. The reversal of 112313004000 is 400313211.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1123130040002 (a number of 23 digits) contains 22 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 (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4667709 + ... + 4691708.

It is an arithmetic number, because the mean of its divisors is an integer number (3832681671).

Almost surely, 2112313004000 is an apocalyptic number.

112313004000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112313004000 is an abundant number, since it is smaller than the sum of its proper divisors (255624436416).

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

112313004000 is an equidigital number, since it uses as much as digits as its factorization.

112313004000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9359445 (or 9359427 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 112313004000 its reverse (400313211), we get a palindrome (112713317211).

The spelling of 112313004000 in words is "one hundred twelve billion, three hundred thirteen million, four thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 750 800 1000 1200 1500 2000 2400 3000 4000 6000 12000 9359417 18718834 28078251 37437668 46797085 56156502 74875336 93594170 112313004 140391255 149750672 187188340 224626008 233985425 280782510 299501344 374376680 449252016 467970850 561565020 701956275 748753360 898504032 935941700 1123130040 1169927125 1403912550 1497506720 1871883400 2246260080 2339854250 2807825100 3509781375 3743766800 4492520160 4679708500 5615650200 7019562750 7487533600 9359417000 11231300400 14039125500 18718834000 22462600800 28078251000 37437668000 56156502000 112313004000