Search a number
-
+
21223122132212 = 227112134441108503
BaseRepresentation
bin1001101001101011001001…
…01001111101110011110100
32210010220120212112122010022
410310311210221331303310
510240204423231212322
6113045433454144312
74320214515426050
oct464654451756364
983126525478108
1021223122132212
116842748181300
1224692247b2098
13bac441050180
145352c1586c60
1526c0de958942
hex134d64a7dcf4

21223122132212 has 144 divisors (see below), whose sum is σ = 50256473008896. Its totient is φ = 7630902259200.

The previous prime is 21223122132211. The next prime is 21223122132241.

21223122132212 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21223122132211) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 195545153 + ... + 195653655.

It is an arithmetic number, because the mean of its divisors is an integer number (349003284784).

Almost surely, 221223122132212 is an apocalyptic number.

21223122132212 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 21223122132212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25128236504448).

21223122132212 is an abundant number, since it is smaller than the sum of its proper divisors (29033350876684).

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

21223122132212 is a wasteful number, since it uses less digits than its factorization.

21223122132212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112990 (or 112977 counting only the distinct ones).

The product of its digits is 2304, while the sum is 26.

It can be divided in two parts, 2122312 and 2132212, that added together give a palindrome (4254524).

The spelling of 21223122132212 in words is "twenty-one trillion, two hundred twenty-three billion, one hundred twenty-two million, one hundred thirty-two thousand, two hundred twelve".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 121 143 154 182 242 286 308 364 484 572 847 1001 1573 1694 2002 3146 3388 4004 4441 6292 8882 11011 17764 22022 31087 44044 48851 57733 62174 97702 108503 115466 124348 195404 217006 230932 341957 404131 434012 537361 635063 683914 759521 808262 1074722 1193533 1270126 1367828 1410539 1519042 1616524 2149444 2387066 2540252 2821078 3038084 3761527 4445441 4774132 5642156 6985693 7523054 8354731 8890882 9873773 13128863 13971386 15046108 15515929 16709462 17781764 19747546 26257726 27942772 31031858 33418924 39495092 48899851 52515452 62063716 91902041 97799702 108611503 170675219 183804082 195599404 217223006 341350438 367608164 434446012 481861823 682700876 963723646 1194726533 1927447292 2389453066 3373032761 4778906132 5300480053 6264203699 6746065522 10600960106 12528407398 13492131044 21201920212 25056814796 37103360371 43849425893 58305280583 68906240689 74206720742 87698851786 116610561166 137812481378 148413441484 175397703572 233221122332 275624962756 408136964081 482343684823 757968647579 816273928162 964687369646 1515937295158 1632547856324 1929374739292 3031874590316 5305780533053 10611561066106 21223122132212