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221132271373 = 131729277124561
BaseRepresentation
bin1100110111110010000…
…0101010111100001101
3210010210002101022001221
43031330200222330031
512110334330140443
6245330424003341
721655602202426
oct3157440527415
9703702338057
10221132271373
1185866447492
1236a34900551
1317b11466570
14a9ba90664d
155b437eceed
hex337c82af0d

221132271373 has 32 divisors (see below), whose sum is σ = 261789464160. Its totient is φ = 184819138560.

The previous prime is 221132271361. The next prime is 221132271377. The reversal of 221132271373 is 373172231122.

It can be written as a sum of positive squares in 16 ways, for example, as 151985361609 + 69146909764 = 389853^2 + 262958^2 .

It is a cyclic number.

It is not a de Polignac number, because 221132271373 - 233 = 212542336781 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221132271377) 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, 1713013 + ... + 1837573.

It is an arithmetic number, because the mean of its divisors is an integer number (8180920755).

Almost surely, 2221132271373 is an apocalyptic number.

It is an amenable number.

221132271373 is a deficient number, since it is larger than the sum of its proper divisors (40657192787).

221132271373 is a wasteful number, since it uses less digits than its factorization.

221132271373 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124897.

The product of its digits is 21168, while the sum is 34.

The spelling of 221132271373 in words is "two hundred twenty-one billion, one hundred thirty-two million, two hundred seventy-one thousand, three hundred seventy-three".

Divisors: 1 13 17 29 221 277 377 493 3601 4709 6409 8033 61217 104429 124561 136561 1619293 1775293 2117537 3612269 27527981 34503397 46959497 61408573 448544161 586557749 798311449 1000598513 7625250737 13007780669 17010174721 221132271373