Search a number
-
+
21011001122202 = 237132231723100153
BaseRepresentation
bin1001100011100000000010…
…10000100001110110011010
32202101122001210102211202020
410301300001100201312122
510223221012241402302
6112404153132515310
74265665123536330
oct461600120416632
982348053384666
1021011001122202
116770796417963
1224340a591bb36
13b954377aa930
14528d1b787b50
1526682730debc
hex131c01421d9a

21011001122202 has 128 divisors (see below), whose sum is σ = 51981983563776. Its totient is φ = 5513257032192.

The previous prime is 21011001122173. The next prime is 21011001122207. The reversal of 21011001122202 is 20222110011012.

It is not an unprimeable number, because it can be changed into a prime (21011001122207) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 209738958 + ... + 209839110.

It is an arithmetic number, because the mean of its divisors is an integer number (406109246592).

Almost surely, 221011001122202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21011001122202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25990991781888).

21011001122202 is an abundant number, since it is smaller than the sum of its proper divisors (30970982441574).

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

21011001122202 is a wasteful number, since it uses less digits than its factorization.

21011001122202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102124.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 21011001122202 its reverse (20222110011012), we get a palindrome (41233111133214).

The spelling of 21011001122202 in words is "twenty-one trillion, eleven billion, one million, one hundred twenty-two thousand, two hundred two".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 182 223 273 446 546 669 1338 1561 1723 2899 3122 3446 4683 5169 5798 8697 9366 10338 12061 17394 20293 22399 24122 36183 40586 44798 60879 67197 72366 100153 121758 134394 156793 200306 300459 313586 384229 470379 600918 701071 768458 940758 1152687 1301989 1402142 2103213 2305374 2603978 2689603 3905967 4206426 4994977 5379206 7811934 8068809 9113923 9989954 14984931 16137618 18227846 22334119 27341769 29969862 34964839 44668238 54683538 67002357 69929678 104894517 134004714 156338833 172563619 209789034 290343547 312677666 345127238 469016499 517690857 580687094 871030641 938032998 1035381714 1207945333 1742061282 2032404829 2243327047 2415890666 3623835999 4064809658 4486654094 6097214487 6729981141 7247671998 12194428974 13459962282 15703289329 31406578658 38481687037 47109867987 76963374074 94219735974 115445061111 230890122222 269371809259 500261931481 538743618518 808115427777 1000523862962 1500785794443 1616230855554 3001571588886 3501833520367 7003667040734 10505500561101 21011001122202