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112102210020 = 223537431174337
BaseRepresentation
bin110100001100111001…
…1111111100111100100
3101201100121002022101110
41220121303333213210
53314041131210040
6123255443225020
711045666030433
oct1503163774744
9351317068343
10112102210020
11435a6858669
1219886978170
13a756bac968
1455d648711a
152db1949980
hex1a19cff9e4

112102210020 has 96 divisors (see below), whose sum is σ = 329866846848. Its totient is φ = 28409536512.

The previous prime is 112102209979. The next prime is 112102210069. The reversal of 112102210020 is 20012201211.

It is a super-3 number, since 3×1121022100203 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 112102209978 and 112102210005.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 491709 + ... + 682628.

It is an arithmetic number, because the mean of its divisors is an integer number (3436112988).

Almost surely, 2112102210020 is an apocalyptic number.

112102210020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112102210020 is an abundant number, since it is smaller than the sum of its proper divisors (217764636828).

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

112102210020 is a wasteful number, since it uses less digits than its factorization.

112102210020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1174429 (or 1174427 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 112102210020 its reverse (20012201211), we get a palindrome (132114411231).

The spelling of 112102210020 in words is "one hundred twelve billion, one hundred two million, two hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 43 60 74 86 111 129 148 172 185 215 222 258 370 430 444 516 555 645 740 860 1110 1290 1591 2220 2580 3182 4773 6364 7955 9546 15910 19092 23865 31820 47730 95460 1174337 2348674 3523011 4697348 5871685 7046022 11743370 14092044 17615055 23486740 35230110 43450469 50496491 70460220 86900938 100992982 130351407 151489473 173801876 201985964 217252345 252482455 260702814 302978946 434504690 504964910 521405628 605957892 651757035 757447365 869009380 1009929820 1303514070 1514894730 1868370167 2607028140 3029789460 3736740334 5605110501 7473480668 9341850835 11210221002 18683701670 22420442004 28025552505 37367403340 56051105010 112102210020