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1330412341131 = 33411201817833
BaseRepresentation
bin10011010111000010110…
…000010100011110001011
311201012000201112110022000
4103113002300110132023
5133244141024404011
62455103305402043
7165055600212066
oct23270260243613
94635021473260
101330412341131
114732520a0215
12195a14499323
13985c3a32173
144856c68b8dd
1524918d4e356
hex135c2c1478b

1330412341131 has 16 divisors (see below), whose sum is σ = 2019053961120. Its totient is φ = 865308839040.

The previous prime is 1330412341121. The next prime is 1330412341187. The reversal of 1330412341131 is 1311432140331.

1330412341131 is a `hidden beast` number, since 1 + 3 + 304 + 1 + 2 + 341 + 13 + 1 = 666.

It is not a de Polignac number, because 1330412341131 - 25 = 1330412341099 is a prime.

It is a super-2 number, since 2×13304123411312 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1330412341095 and 1330412341104.

It is not an unprimeable number, because it can be changed into a prime (1330412341121) 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, 600907810 + ... + 600910023.

It is an arithmetic number, because the mean of its divisors is an integer number (126190872570).

Almost surely, 21330412341131 is an apocalyptic number.

1330412341131 is a deficient number, since it is larger than the sum of its proper divisors (688641619989).

1330412341131 is a wasteful number, since it uses less digits than its factorization.

1330412341131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1201817883 (or 1201817877 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 1330412341131 its reverse (1311432140331), we get a palindrome (2641844481462).

The spelling of 1330412341131 in words is "one trillion, three hundred thirty billion, four hundred twelve million, three hundred forty-one thousand, one hundred thirty-one".

Divisors: 1 3 9 27 41 123 369 1107 1201817833 3605453499 10816360497 32449081491 49274531153 147823593459 443470780377 1330412341131