Search a number
-
+
221421207126112 = 2577113922359603
BaseRepresentation
bin110010010110000110100100…
…011001011000000001100000
31002000222122211122000222200021
4302112012210121120001200
5213010231113011013422
62102531255344403224
764432103632521460
oct6226064431300140
91060878748028607
10221421207126112
116460822aa90384
1220a00ab6316514
139671c129722c6
143c96bb4bd9ba0
151a8ea18c97dc7
hexc961a4658060

221421207126112 has 48 divisors (see below), whose sum is σ = 505214585309952. Its totient is φ = 93558256525440.

The previous prime is 221421207126047. The next prime is 221421207126127. The reversal of 221421207126112 is 211621702124122.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 6961163898 + ... + 6961195705.

It is an arithmetic number, because the mean of its divisors is an integer number (10525303860624).

Almost surely, 2221421207126112 is an apocalyptic number.

It is an amenable number.

221421207126112 is an abundant number, since it is smaller than the sum of its proper divisors (283793378183840).

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

221421207126112 is a wasteful number, since it uses less digits than its factorization.

221421207126112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13922359691 (or 13922359683 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 34.

The spelling of 221421207126112 in words is "two hundred twenty-one trillion, four hundred twenty-one billion, two hundred seven million, one hundred twenty-six thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 71 112 142 224 284 497 568 994 1136 1988 2272 3976 7952 15904 13922359603 27844719206 55689438412 97456517221 111378876824 194913034442 222757753648 389826068884 445515507296 779652137768 988487531813 1559304275536 1976975063626 3118608551072 3953950127252 6919412722691 7907900254504 13838825445382 15815800509008 27677650890764 31631601018016 55355301781528 110710603563056 221421207126112