Search a number
-
+
22101220100112 = 2433730494081463
BaseRepresentation
bin1010000011001110101110…
…10111111000100000010000
32220020212010000210012120120
411001213113113320200100
510344101244321200422
6115001054345110240
74440521560130436
oct501472727704020
986225100705516
1022101220100112
11705109062921a
12258b445a88380
13c441a0068b6a
145659c1c10d56
15284d8425945c
hex1419d75f8810

22101220100112 has 80 divisors (see below), whose sum is σ = 58657168022400. Its totient is φ = 7165610597376.

The previous prime is 22101220100111. The next prime is 22101220100123. The reversal of 22101220100112 is 21100102210122.

It is a junction number, because it is equal to n+sod(n) for n = 22101220100091 and 22101220100100.

It is not an unprimeable number, because it can be changed into a prime (22101220100111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3374293 + ... + 7455755.

It is an arithmetic number, because the mean of its divisors is an integer number (733214600280).

Almost surely, 222101220100112 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 22101220100112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29328584011200).

22101220100112 is an abundant number, since it is smaller than the sum of its proper divisors (36555947922288).

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

22101220100112 is a wasteful number, since it uses less digits than its factorization.

22101220100112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4084560 (or 4084554 counting only the distinct ones).

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

Adding to 22101220100112 its reverse (21100102210122), we get a palindrome (43201322310234).

The spelling of 22101220100112 in words is "twenty-two trillion, one hundred one billion, two hundred twenty million, one hundred thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 111 148 222 296 444 592 888 1776 3049 6098 9147 12196 18294 24392 36588 48784 73176 112813 146352 225626 338439 451252 676878 902504 1353756 1805008 2707512 4081463 5415024 8162926 12244389 16325852 24488778 32651704 48977556 65303408 97955112 151014131 195910224 302028262 453042393 604056524 906084786 1208113048 1812169572 2416226096 3624339144 7248678288 12444380687 24888761374 37333142061 49777522748 74666284122 99555045496 149332568244 199110090992 298665136488 460442085419 597330272976 920884170838 1381326256257 1841768341676 2762652512514 3683536683352 5525305025028 7367073366704 11050610050056 22101220100112