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1327833272105 = 513715745727017
BaseRepresentation
bin10011010100101001000…
…001111100111100101001
311200221100222120011200222
4103110221001330330221
5133223400304201410
62453555335135425
7164634642405314
oct23245101747451
94627328504628
101327833272105
114721492a150a
12195414814575
13982a260a312
14483a5d3797b
1524817705955
hex1352907cf29

1327833272105 has 32 divisors (see below), whose sum is σ = 1618848097056. Its totient is φ = 1045464735744.

The previous prime is 1327833272033. The next prime is 1327833272141. The reversal of 1327833272105 is 5012723387231.

It can be written as a sum of positive squares in 16 ways, for example, as 19545241 + 1327813726864 = 4421^2 + 1152308^2 .

It is a cyclic number.

It is not a de Polignac number, because 1327833272105 - 212 = 1327833268009 is a prime.

It is a super-2 number, since 2×13278332721052 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49134557 + ... + 49161573.

It is an arithmetic number, because the mean of its divisors is an integer number (50589003033).

Almost surely, 21327833272105 is an apocalyptic number.

It is an amenable number.

1327833272105 is a deficient number, since it is larger than the sum of its proper divisors (291014824951).

1327833272105 is a wasteful number, since it uses less digits than its factorization.

1327833272105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27773.

The product of its (nonzero) digits is 423360, while the sum is 44.

The spelling of 1327833272105 in words is "one trillion, three hundred twenty-seven billion, eight hundred thirty-three million, two hundred seventy-two thousand, one hundred five".

Divisors: 1 5 137 157 457 685 785 2285 21509 27017 62609 71749 107545 135085 313045 358745 3701329 4241669 9829613 12346769 18506645 21208345 49148065 61733845 581108653 1691507353 1938442733 2905543265 8457536765 9692213665 265566654421 1327833272105