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112112221000 = 2353138624017
BaseRepresentation
bin110100001101001101…
…0001011101101001000
3101201101021220220212111
41220122122023231020
53314101212033000
6123300441552104
711046150104113
oct1503232135510
9351337826774
10112112221000
1143601475aaa
121988a1a5634
13a758ca6510
1455d793157a
152db2775cba
hex1a1a68bb48

112112221000 has 64 divisors (see below), whose sum is σ = 282522829680. Its totient is φ = 41395276800.

The previous prime is 112112220929. The next prime is 112112221019. The reversal of 112112221000 is 122211211.

It can be written as a sum of positive squares in 8 ways, for example, as 17173054116 + 94939166884 = 131046^2 + 308122^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 4299009 + ... + 4325008.

Almost surely, 2112112221000 is an apocalyptic number.

112112221000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112112221000 is an abundant number, since it is smaller than the sum of its proper divisors (170410608680).

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

112112221000 is a wasteful number, since it uses less digits than its factorization.

112112221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8624051 (or 8624037 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 112112221000 its reverse (122211211), we get a palindrome (112234432211).

The spelling of 112112221000 in words is "one hundred twelve billion, one hundred twelve million, two hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 125 130 200 250 260 325 500 520 650 1000 1300 1625 2600 3250 6500 13000 8624017 17248034 34496068 43120085 68992136 86240170 112112221 172480340 215600425 224224442 344960680 431200850 448448884 560561105 862401700 896897768 1078002125 1121122210 1724803400 2156004250 2242244420 2802805525 4312008500 4484488840 5605611050 8624017000 11211222100 14014027625 22422444200 28028055250 56056110500 112112221000