Search a number
-
+
2100000222012 = 2237211427375983
BaseRepresentation
bin11110100011110001110…
…001000110101100111100
321102202110121220110202110
4132203301301012230330
5233401300024101022
64244420552454020
7304501651236600
oct36436161065474
97382417813673
102100000222012
1173a672418770
1229abb19aa310
1312304c120b84
14738d796b500
153995c25d00c
hex1e8f1c46b3c

2100000222012 has 144 divisors (see below), whose sum is σ = 6219719557632. Its totient is φ = 545319774720.

The previous prime is 2100000221983. The next prime is 2100000222037. The reversal of 2100000222012 is 2102220000012.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27599773 + ... + 27675755.

It is an arithmetic number, because the mean of its divisors is an integer number (43192496928).

Almost surely, 22100000222012 is an apocalyptic number.

2100000222012 is a gapful number since it is divisible by the number (22) 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 2100000222012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3109859778816).

2100000222012 is an abundant number, since it is smaller than the sum of its proper divisors (4119719335620).

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

2100000222012 is a wasteful number, since it uses less digits than its factorization.

2100000222012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80288 (or 80279 counting only the distinct ones).

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

Adding to 2100000222012 its reverse (2102220000012), we get a palindrome (4202220222024).

The spelling of 2100000222012 in words is "two trillion, one hundred billion, two hundred twenty-two thousand, twelve".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 49 66 77 84 98 132 147 154 196 231 294 308 462 539 588 924 1078 1617 2156 3234 4273 6468 8546 12819 17092 25638 29911 47003 51276 59822 75983 89733 94006 119644 141009 151966 179466 188012 209377 227949 282018 303932 329021 358932 418754 455898 531881 564036 628131 658042 835813 837508 911796 987063 1063762 1256262 1316084 1595643 1671626 1974126 2127524 2303147 2507439 2512524 3191286 3343252 3723167 3948252 4606294 5014878 5850691 6382572 6909441 7446334 9212588 10029756 11169501 11701382 13818882 14892668 17552073 22339002 23402764 27637764 35104146 40954837 44678004 70208292 81909674 122864511 163819348 245729022 324675359 491458044 649350718 974026077 1298701436 1948052154 2272727513 3571428949 3896104308 4545455026 6818182539 7142857898 9090910052 10714286847 13636365078 14285715796 15909092591 21428573694 25000002643 27272730156 31818185182 42857147388 47727277773 50000005286 63636370364 75000007929 95454555546 100000010572 150000015858 175000018501 190909111092 300000031716 350000037002 525000055503 700000074004 1050000111006 2100000222012