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221332121012013 = 31116998849446111
BaseRepresentation
bin110010010100110011100110…
…011100110100011100101101
31002000200010220001210111022220
4302110303212130310130231
5213002301140434341023
62102422323412025553
764422501201166344
oct6224634634643455
91060603801714286
10221332121012013
11645834752162a0
12209a77936022b9
1396666b6298c1b
143c92763430b5b
151a8c552c8c3e3
hexc94ce673472d

221332121012013 has 32 divisors (see below), whose sum is σ = 322164241920000. Its totient is φ = 134046276268800.

The previous prime is 221332121012011. The next prime is 221332121012083. The reversal of 221332121012013 is 310210121233122.

It is not a de Polignac number, because 221332121012013 - 21 = 221332121012011 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221332121012011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 495913828 + ... + 496359938.

It is an arithmetic number, because the mean of its divisors is an integer number (10067632560000).

Almost surely, 2221332121012013 is an apocalyptic number.

It is an amenable number.

221332121012013 is a deficient number, since it is larger than the sum of its proper divisors (100832120907987).

221332121012013 is a wasteful number, since it uses less digits than its factorization.

221332121012013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456673.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 221332121012013 its reverse (310210121233122), we get a palindrome (531542242245135).

The spelling of 221332121012013 in words is "two hundred twenty-one trillion, three hundred thirty-two billion, one hundred twenty-one million, twelve thousand, thirteen".

Divisors: 1 3 11 33 1699 5097 8849 18689 26547 56067 97339 292017 446111 1338333 4907221 14721663 15034451 45103353 165378961 496136883 757942589 2273827767 3947636239 8337368479 11842908717 25012105437 43423998629 130271995887 6707033970061 20121101910183 73777373670671 221332121012013