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112012132020 = 22354195347779
BaseRepresentation
bin110100001010001110…
…0010111111010110100
3101201010022120212121020
41220110130113322310
53313400101211040
6123242504421140
711043523261365
oct1502434277264
9351108525536
10112012132020
114355aa23738
12198607777b0
13a741331379
1455c8519b6c
152da8aa4cd0
hex1a14717eb4

112012132020 has 96 divisors (see below), whose sum is σ = 321627438720. Its totient is φ = 29110179840.

The previous prime is 112012131989. The next prime is 112012132021. The reversal of 112012132020 is 20231210211.

112012132020 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 (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112012132021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2320491 + ... + 2368269.

It is an arithmetic number, because the mean of its divisors is an integer number (3350285820).

Almost surely, 2112012132020 is an apocalyptic number.

112012132020 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 112012132020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160813719360).

112012132020 is an abundant number, since it is smaller than the sum of its proper divisors (209615306700).

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

112012132020 is a wasteful number, since it uses less digits than its factorization.

112012132020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48785 (or 48783 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 112012132020 its reverse (20231210211), we get a palindrome (132243342231).

The spelling of 112012132020 in words is "one hundred twelve billion, twelve million, one hundred thirty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 82 123 164 205 246 410 492 615 820 953 1230 1906 2460 2859 3812 4765 5718 9530 11436 14295 19060 28590 39073 47779 57180 78146 95558 117219 143337 156292 191116 195365 234438 238895 286674 390730 468876 477790 573348 586095 716685 781460 955580 1172190 1433370 1958939 2344380 2866740 3917878 5876817 7835756 9794695 11753634 19589390 23507268 29384085 39178780 45533387 58768170 91066774 117536340 136600161 182133548 227666935 273200322 455333870 546400644 683000805 910667740 1366001610 1866868867 2732003220 3733737734 5600606601 7467475468 9334344335 11201213202 18668688670 22402426404 28003033005 37337377340 56006066010 112012132020