Search a number
-
+
21100222120112 = 2423313458339971
BaseRepresentation
bin1001100110000110001110…
…01111101000000010110000
32202201011100202111010220022
410303003013033220002300
510231201223330320422
6112513150324303012
74305304113522632
oct463030717500260
982634322433808
1021100222120112
1167a561033a173
122449445841a68
13ba09860bc715
1452d383024a52
15268cea0b0342
hex1330c73e80b0

21100222120112 has 80 divisors (see below), whose sum is σ = 42805844679168. Its totient is φ = 10056723156480.

The previous prime is 21100222120079. The next prime is 21100222120139. The reversal of 21100222120112 is 21102122200112.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 527868287 + ... + 527908257.

Almost surely, 221100222120112 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 21100222120112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21402922339584).

21100222120112 is an abundant number, since it is smaller than the sum of its proper divisors (21705622559056).

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

21100222120112 is a wasteful number, since it uses less digits than its factorization.

21100222120112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44898 (or 44892 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 21100222120112 its reverse (21102122200112), we get a palindrome (42202344320224).

The spelling of 21100222120112 in words is "twenty-one trillion, one hundred billion, two hundred twenty-two million, one hundred twenty thousand, one hundred twelve".

Divisors: 1 2 4 8 16 23 46 92 184 313 368 626 1252 2504 4583 5008 7199 9166 14398 18332 28796 36664 39971 57592 73328 79942 105409 115184 159884 210818 319768 421636 639536 843272 919333 1434479 1686544 1838666 2868958 3677332 5737916 7354664 11475832 12510923 14709328 22951664 25021846 32993017 50043692 65986034 100087384 131972068 183187093 200174768 263944136 287751229 366374186 527888272 575502458 732748372 1151004916 1465496744 2302009832 2930993488 4213303139 4604019664 8426606278 16853212556 33706425112 57337560109 67412850224 114675120218 229350240436 458700480872 917400961744 1318763882507 2637527765014 5275055530028 10550111060056 21100222120112