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1311412141131 = 31296313372167
BaseRepresentation
bin10011000101010110010…
…000010011110001001011
311122100222120022021210220
4103011112100103301023
5132441233002004011
62442242053241123
7163514005164021
oct23052620236113
94570876267726
101311412141131
11466191a68794
121921b13331a3
1396886524681
14476890a0711
15241a5c75506
hex13156413c4b

1311412141131 has 8 divisors (see below), whose sum is σ = 1748563528704. Its totient is φ = 874267757160.

The previous prime is 1311412141121. The next prime is 1311412141133.

1311412141131 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 1311412141131 - 229 = 1310875270219 is a prime.

It is a super-2 number, since 2×13114121411312 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1311412141133) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1297191 + ... + 2074976.

It is an arithmetic number, because the mean of its divisors is an integer number (218570441088).

Almost surely, 21311412141131 is an apocalyptic number.

1311412141131 is a deficient number, since it is larger than the sum of its proper divisors (437151387573).

1311412141131 is a wasteful number, since it uses less digits than its factorization.

1311412141131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3501801.

The product of its digits is 288, while the sum is 24.

The spelling of 1311412141131 in words is "one trillion, three hundred eleven billion, four hundred twelve million, one hundred forty-one thousand, one hundred thirty-one".

Divisors: 1 3 129631 388893 3372167 10116501 437137380377 1311412141131