Search a number
-
+
1320331141431 = 32440213332579
BaseRepresentation
bin10011001101101001110…
…111100110000100110111
311200020000010222110010100
4103031221313212010313
5133113014233011211
62450315102325143
7164251015346241
oct23155167460467
94606003873110
101320331141431
11469a49565715
12193a802897b3
1397678284543
1447c9382d091
1524528ca2156
hex13369de6137

1320331141431 has 12 divisors (see below), whose sum is σ = 1907188877880. Its totient is φ = 880200501360.

The previous prime is 1320331141429. The next prime is 1320331141439. The reversal of 1320331141431 is 1341411330231.

1320331141431 is a `hidden beast` number, since 1 + 3 + 203 + 3 + 11 + 414 + 31 = 666.

It is not a de Polignac number, because 1320331141431 - 21 = 1320331141429 is a prime.

It is a super-2 number, since 2×13203311414312 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1320331141395 and 1320331141404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1320331141439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1270101 + ... + 2062478.

It is an arithmetic number, because the mean of its divisors is an integer number (158932406490).

Almost surely, 21320331141431 is an apocalyptic number.

1320331141431 is a deficient number, since it is larger than the sum of its proper divisors (586857736449).

1320331141431 is a wasteful number, since it uses less digits than its factorization.

1320331141431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3376606 (or 3376603 counting only the distinct ones).

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

Adding to 1320331141431 its reverse (1341411330231), we get a palindrome (2661742471662).

The spelling of 1320331141431 in words is "one trillion, three hundred twenty billion, three hundred thirty-one million, one hundred forty-one thousand, four hundred thirty-one".

Divisors: 1 3 9 44021 132063 396189 3332579 9997737 29993211 146703460159 440110380477 1320331141431