Search a number
-
+
20022201112212 = 22341322732091337
BaseRepresentation
bin1001000110101110010000…
…01011110101011010010100
32121220002210121202212020000
410203113020023311122110
510111020431441042322
6110330023333011300
74134361544246355
oct443271013653224
977802717685200
1020022201112212
11641a405606262
1222b452a783b30
13b231159bc320
144d31189cdd2c
1524ac53e8d3ac
hex1235c82f5694

20022201112212 has 120 divisors (see below), whose sum is σ = 56393121573096. Its totient is φ = 6157963948032.

The previous prime is 20022201112211. The next prime is 20022201112213. The reversal of 20022201112212 is 21221110222002.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20022201112211) and next prime (20022201112213).

It can be written as a sum of positive squares in 4 ways, for example, as 8224253897616 + 11797947214596 = 2867796^2 + 3434814^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20022201112211) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8528208 + ... + 10619544.

Almost surely, 220022201112212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20022201112212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28196560786548).

20022201112212 is an abundant number, since it is smaller than the sum of its proper divisors (36370920460884).

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

20022201112212 is a wasteful number, since it uses less digits than its factorization.

20022201112212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2093639 (or 2093628 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 20022201112212 its reverse (21221110222002), we get a palindrome (41243311334214).

The spelling of 20022201112212 in words is "twenty trillion, twenty-two billion, two hundred one million, one hundred twelve thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 234 324 351 468 702 1053 1404 2106 2273 4212 4546 6819 9092 13638 20457 27276 29549 40914 59098 61371 81828 88647 118196 122742 177294 184113 245484 265941 354588 368226 531882 736452 797823 1063764 1595646 2091337 2393469 3191292 4182674 4786938 6274011 8365348 9573876 12548022 18822033 25096044 27187381 37644066 54374762 56466099 75288132 81562143 108749524 112932198 163124286 169398297 225864396 244686429 326248572 338796594 489372858 677593188 734059287 978745716 1468118574 2202177861 2936237148 4404355722 4753609001 8808711444 9507218002 14260827003 19014436004 28521654006 42782481009 57043308012 61796917013 85564962018 123593834026 128347443027 171129924036 185390751039 247187668052 256694886054 370781502078 385042329081 513389772108 556172253117 741563004156 770084658162 1112344506234 1540169316324 1668516759351 2224689012468 3337033518702 5005550278053 6674067037404 10011100556106 20022201112212