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112004221320 = 233251671863011
BaseRepresentation
bin110100001001111111…
…0001100100110001000
3101201002202200222011100
41220103332030212020
53313341040040240
6123242023101400
711043366113205
oct1502376144610
9351082628140
10112004221320
1143556510272
1219859ba1860
13a73c7c1794
1455c745acac
152da8040e30
hex1a13f8c988

112004221320 has 96 divisors (see below), whose sum is σ = 366193638720. Its totient is φ = 29688927360.

The previous prime is 112004221309. The next prime is 112004221321. The reversal of 112004221320 is 23122400211.

It is a happy number.

112004221320 is a `hidden beast` number, since 1 + 120 + 0 + 4 + 221 + 320 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 112004221293 and 112004221302.

It is not an unprimeable number, because it can be changed into a prime (112004221321) by changing a digit.

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, 871386 + ... + 991625.

It is an arithmetic number, because the mean of its divisors is an integer number (3814517070).

Almost surely, 2112004221320 is an apocalyptic number.

112004221320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112004221320 is an abundant number, since it is smaller than the sum of its proper divisors (254189417400).

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

112004221320 is a wasteful number, since it uses less digits than its factorization.

112004221320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1863195 (or 1863188 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 112004221320 its reverse (23122400211), we get a palindrome (135126621531).

The spelling of 112004221320 in words is "one hundred twelve billion, four million, two hundred twenty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 167 180 334 360 501 668 835 1002 1336 1503 1670 2004 2505 3006 3340 4008 5010 6012 6680 7515 10020 12024 15030 20040 30060 60120 1863011 3726022 5589033 7452044 9315055 11178066 14904088 16767099 18630110 22356132 27945165 33534198 37260220 44712264 55890330 67068396 74520440 83835495 111780660 134136792 167670990 223561320 311122837 335341980 622245674 670683960 933368511 1244491348 1555614185 1866737022 2488982696 2800105533 3111228370 3733474044 4666842555 5600211066 6222456740 7466948088 9333685110 11200422132 12444913480 14000527665 18667370220 22400844264 28001055330 37334740440 56002110660 112004221320