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1132122103229 = 131714934380701
BaseRepresentation
bin10000011110010111101…
…111000101110110111101
311000020012112110200110202
4100132113233011312331
5122022041224300404
62224031213413245
7144536020046165
oct20362757056675
94006175420422
101132122103229
113a714845a647
121634b549a225
13829b29c9a50
143cb1b6b35a5
151e6b0a5b21e
hex10797bc5dbd

1132122103229 has 16 divisors (see below), whose sum is σ = 1299590535600. Its totient is φ = 976961971200.

The previous prime is 1132122103199. The next prime is 1132122103237. The reversal of 1132122103229 is 9223012212311.

It can be written as a sum of positive squares in 8 ways, for example, as 127370472100 + 1004751631129 = 356890^2 + 1002373^2 .

It is a cyclic number.

It is not a de Polignac number, because 1132122103229 - 28 = 1132122102973 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 (1132122103249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17157422 + ... + 17223279.

It is an arithmetic number, because the mean of its divisors is an integer number (81224408475).

Almost surely, 21132122103229 is an apocalyptic number.

It is an amenable number.

1132122103229 is a deficient number, since it is larger than the sum of its proper divisors (167468432371).

1132122103229 is a wasteful number, since it uses less digits than its factorization.

1132122103229 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34380880.

The product of its (nonzero) digits is 2592, while the sum is 29.

The spelling of 1132122103229 in words is "one trillion, one hundred thirty-two billion, one hundred twenty-two million, one hundred three thousand, two hundred twenty-nine".

Divisors: 1 13 17 149 221 1937 2533 32929 34380701 446949113 584471917 5122724449 7598134921 66595417837 87086315633 1132122103229