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112002220020 = 223523769105541
BaseRepresentation
bin110100001001111011…
…0100011111111110100
3101201002121221021220010
41220103312203333310
53313340032020040
6123241512140220
711043343106415
oct1502366437764
9351077837803
10112002220020
11435553736a9
1219859397670
13a73c270892
1455c709980c
152da7c97e80
hex1a13da3ff4

112002220020 has 96 divisors (see below), whose sum is σ = 327669914880. Its totient is φ = 28531261440.

The previous prime is 112002220007. The next prime is 112002220021. The reversal of 112002220020 is 20022200211.

112002220020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 = 112002219978 and 112002220005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112002220021) 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, 1008450 + ... + 1113990.

It is an arithmetic number, because the mean of its divisors is an integer number (3413228280).

Almost surely, 2112002220020 is an apocalyptic number.

112002220020 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 112002220020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163834957440).

112002220020 is an abundant number, since it is smaller than the sum of its proper divisors (215667694860).

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

112002220020 is a wasteful number, since it uses less digits than its factorization.

112002220020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106345 (or 106343 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 112002220020 its reverse (20022200211), we get a palindrome (132024420231).

It can be divided in two parts, 1 and 12002220020, that added together give a palindrome (12002220021).

The spelling of 112002220020 in words is "one hundred twelve billion, two million, two hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 345 460 690 769 1380 1538 2307 3076 3845 4614 7690 9228 11535 15380 17687 23070 35374 46140 53061 70748 88435 105541 106122 176870 211082 212244 265305 316623 353740 422164 527705 530610 633246 1055410 1061220 1266492 1583115 2110820 2427443 3166230 4854886 6332460 7282329 9709772 12137215 14564658 24274430 29129316 36411645 48548860 72823290 81161029 145646580 162322058 243483087 324644116 405805145 486966174 811610290 973932348 1217415435 1623220580 1866703667 2434830870 3733407334 4869661740 5600111001 7466814668 9333518335 11200222002 18667036670 22400444004 28000555005 37334073340 56001110010 112002220020