Search a number
-
+
112313020020 = 223519313314761
BaseRepresentation
bin110100010011001100…
…0001010111001110100
3101201220021202120100020
41220212120022321310
53320004113120040
6123332413445140
711054135630025
oct1504630127164
9351807676306
10112313020020
11436a4854303
12199254a07b0
13a78b7803c6
145616480c4c
152dc51dbcd0
hex1a2660ae74

112313020020 has 96 divisors (see below), whose sum is σ = 332086500480. Its totient is φ = 28283074560.

The previous prime is 112313020007. The next prime is 112313020021. The reversal of 112313020020 is 20020313211.

It is a super-2 number, since 2×1123130200202 (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 not an unprimeable number, because it can be changed into a prime (112313020021) 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 31 ways as a sum of consecutive naturals, for example, 199440 + ... + 514200.

It is an arithmetic number, because the mean of its divisors is an integer number (3459234380).

Almost surely, 2112313020020 is an apocalyptic number.

112313020020 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 112313020020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166043250240).

112313020020 is an abundant number, since it is smaller than the sum of its proper divisors (219773480460).

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

112313020020 is a wasteful number, since it uses less digits than its factorization.

112313020020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315105 (or 315103 counting only the distinct ones).

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

Adding to 112313020020 its reverse (20020313211), we get a palindrome (132333333231).

The spelling of 112313020020 in words is "one hundred twelve billion, three hundred thirteen million, twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 313 380 570 626 939 1140 1252 1565 1878 3130 3756 4695 5947 6260 9390 11894 17841 18780 23788 29735 35682 59470 71364 89205 118940 178410 314761 356820 629522 944283 1259044 1573805 1888566 3147610 3777132 4721415 5980459 6295220 9442830 11960918 17941377 18885660 23921836 29902295 35882754 59804590 71765508 89706885 98520193 119609180 179413770 197040386 295560579 358827540 394080772 492600965 591121158 985201930 1182242316 1477802895 1871883667 1970403860 2955605790 3743767334 5615651001 5911211580 7487534668 9359418335 11231302002 18718836670 22462604004 28078255005 37437673340 56156510010 112313020020