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112022002020 = 223589160113103
BaseRepresentation
bin110100001010100001…
…0000001100101100100
3101201011000011022200210
41220111002001211210
53313410113031040
6123243500135420
711044003210035
oct1502502014544
9351130138623
10112022002020
1143565555165
1219863b37570
13a7433a89c6
1455c9968a8c
152da98a4480
hex1a15081964

112022002020 has 96 divisors (see below), whose sum is σ = 317408232960. Its totient is φ = 29516185600.

The previous prime is 112022002007. The next prime is 112022002069. The reversal of 112022002020 is 20200220211.

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 = 112022001987 and 112022002005.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8542789 + ... + 8555891.

It is an arithmetic number, because the mean of its divisors is an integer number (3306335760).

Almost surely, 2112022002020 is an apocalyptic number.

112022002020 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 112022002020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158704116480).

112022002020 is an abundant number, since it is smaller than the sum of its proper divisors (205386230940).

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

112022002020 is a wasteful number, since it uses less digits than its factorization.

112022002020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14805 (or 14803 counting only the distinct ones).

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

Adding to 112022002020 its reverse (20200220211), we get a palindrome (132222222231).

The spelling of 112022002020 in words is "one hundred twelve billion, twenty-two million, two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 89 178 267 356 445 534 890 1068 1335 1601 1780 2670 3202 4803 5340 6404 8005 9606 13103 16010 19212 24015 26206 32020 39309 48030 52412 65515 78618 96060 131030 142489 157236 196545 262060 284978 393090 427467 569956 712445 786180 854934 1166167 1424890 1709868 2137335 2332334 2849780 3498501 4274670 4664668 5830835 6997002 8549340 11661670 13994004 17492505 20977903 23323340 34985010 41955806 62933709 69970020 83911612 104889515 125867418 209779030 251734836 314668545 419558060 629337090 1258674180 1867033367 3734066734 5601100101 7468133468 9335166835 11202200202 18670333670 22404400404 28005500505 37340667340 56011001010 112022002020