Search a number
-
+
1313402334431 = 116731619109583
BaseRepresentation
bin10011000111001100111…
…000010010110011011111
311122120010021012120202212
4103013030320102303133
5133004321444200211
62443211350111035
7163614222432605
oct23071470226337
94576107176685
101313402334431
11467013417440
1219266794b47b
1396b12947145
14477d7525875
152427084c38b
hex131cce12cdf

1313402334431 has 16 divisors (see below), whose sum is σ = 1435830935040. Its totient is φ = 1191480702720.

The previous prime is 1313402334397. The next prime is 1313402334437. The reversal of 1313402334431 is 1344332043131.

It is a happy number.

It is not a de Polignac number, because 1313402334431 - 26 = 1313402334367 is a prime.

It is a super-3 number, since 3×13134023344313 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313402334437) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11930666 + ... + 12040248.

It is an arithmetic number, because the mean of its divisors is an integer number (89739433440).

Almost surely, 21313402334431 is an apocalyptic number.

1313402334431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1313402334431 is a deficient number, since it is larger than the sum of its proper divisors (122428600609).

1313402334431 is a wasteful number, since it uses less digits than its factorization.

1313402334431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111886.

The product of its (nonzero) digits is 31104, while the sum is 32.

Adding to 1313402334431 its reverse (1344332043131), we get a palindrome (2657734377562).

The spelling of 1313402334431 in words is "one trillion, three hundred thirteen billion, four hundred two million, three hundred thirty-four thousand, four hundred thirty-one".

Divisors: 1 11 673 1619 7403 17809 109583 1089587 1205413 11985457 73749359 177414877 811242949 1951563647 119400212221 1313402334431