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221311332334432 = 2553130490172367
BaseRepresentation
bin110010010100100000001111…
…010110010011101101100000
31002000121011020021020020211101
4302110200033112103231200
5213001431102034200212
62102405004510324144
764421134061304034
oct6224401726235540
91060534207206741
10221311332334432
116457567758a11a
12209a37514b9654
1396647523a3b82
143c917504ca1c4
151a8bc37b84157
hexc9480f593b60

221311332334432 has 24 divisors (see below), whose sum is σ = 443927566395936. Its totient is φ = 108567823408512.

The previous prime is 221311332334409. The next prime is 221311332334457. The reversal of 221311332334432 is 234433233113122.

It is a junction number, because it is equal to n+sod(n) for n = 221311332334391 and 221311332334400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 65245084488 + ... + 65245087879.

It is an arithmetic number, because the mean of its divisors is an integer number (18496981933164).

Almost surely, 2221311332334432 is an apocalyptic number.

It is an amenable number.

221311332334432 is an abundant number, since it is smaller than the sum of its proper divisors (222616234061504).

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

221311332334432 is a wasteful number, since it uses less digits than its factorization.

221311332334432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130490172430 (or 130490172422 counting only the distinct ones).

The product of its digits is 186624, while the sum is 37.

Adding to 221311332334432 its reverse (234433233113122), we get a palindrome (455744565447554).

The spelling of 221311332334432 in words is "two hundred twenty-one trillion, three hundred eleven billion, three hundred thirty-two million, three hundred thirty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 32 53 106 212 424 848 1696 130490172367 260980344734 521960689468 1043921378936 2087842757872 4175685515744 6915979135451 13831958270902 27663916541804 55327833083608 110655666167216 221311332334432