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1323140413231 = 713101696120681
BaseRepresentation
bin10011010000010001010…
…100000111011100101111
311200111020221010020120001
4103100101110013130233
5133134242421210411
62451501535005131
7164410436642110
oct23202124073457
94614227106501
101323140413231
114701602a614a
121945250697a7
1397a052a9a50
144807c988207
152464071ddc1
hex1341150772f

1323140413231 has 32 divisors (see below), whose sum is σ = 1644919871616. Its totient is φ = 1036316160000.

The previous prime is 1323140413201. The next prime is 1323140413237.

1323140413231 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 1323140413231 - 211 = 1323140411183 is a prime.

It is a super-2 number, since 2×13231404132312 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1323140413231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1323140413237) 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 31 ways as a sum of consecutive naturals, for example, 63968211 + ... + 63988891.

It is an arithmetic number, because the mean of its divisors is an integer number (51403745988).

Almost surely, 21323140413231 is an apocalyptic number.

1323140413231 is a deficient number, since it is larger than the sum of its proper divisors (321779458385).

1323140413231 is a wasteful number, since it uses less digits than its factorization.

1323140413231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27763.

The product of its (nonzero) digits is 5184, while the sum is 28.

It can be divided in two parts, 1323140 and 413231, that added together give a palindrome (1736371).

The spelling of 1323140413231 in words is "one trillion, three hundred twenty-three billion, one hundred forty million, four hundred thirteen thousand, two hundred thirty-one".

Divisors: 1 7 13 91 101 707 1313 6961 9191 20681 48727 90493 144767 268853 633451 703061 1881971 2088781 4921427 9139793 14621467 27154153 63978551 143960441 190079071 1007723087 1871485733 13100400131 14540004541 101780031787 189020059033 1323140413231