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1332400413011 = 17311831130323
BaseRepresentation
bin10011011000111001010…
…000001101100101010011
311201101011021102222012212
4103120321100031211103
5133312224001204021
62500032444542335
7165156060434033
oct23307120154523
94641137388185
101332400413011
11474082330028
1219628a2519ab
139884c891165
14486ba71d8c3
15249d365785b
hex1363940d953

1332400413011 has 16 divisors (see below), whose sum is σ = 1415530142208. Its totient is φ = 1249800067200.

The previous prime is 1332400412953. The next prime is 1332400413037. The reversal of 1332400413011 is 1103140042331.

It is a cyclic number.

It is not a de Polignac number, because 1332400413011 - 26 = 1332400412947 is a prime.

It is a super-2 number, since 2×13324004130112 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1332400313011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43925096 + ... + 43955418.

It is an arithmetic number, because the mean of its divisors is an integer number (88470633888).

Almost surely, 21332400413011 is an apocalyptic number.

1332400413011 is a deficient number, since it is larger than the sum of its proper divisors (83129729197).

1332400413011 is a wasteful number, since it uses less digits than its factorization.

1332400413011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38962.

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 1332400413011 its reverse (1103140042331), we get a palindrome (2435540455342).

The spelling of 1332400413011 in words is "one trillion, three hundred thirty-two billion, four hundred million, four hundred thirteen thousand, eleven".

Divisors: 1 17 311 5287 8311 30323 141287 515491 2584721 9430453 43940257 160317701 252014453 4284245701 78376494883 1332400413011