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131442311 = 71113131311
BaseRepresentation
bin1111101010110…
…10011010000111
3100011022221221202
413311122122013
5232122123221
621013133115
73154145510
oct765323207
9304287852
10131442311
1168217610
123802a19b
1321302120
1413657a07
15b815d0b
hex7d5a687

131442311 has 16 divisors (see below), whose sum is σ = 176483328. Its totient is φ = 94543200.

The previous prime is 131442301. The next prime is 131442319. The reversal of 131442311 is 113244131.

It is a cyclic number.

It is not a de Polignac number, because 131442311 - 222 = 127248007 is a prime.

It is a super-2 number, since 2×1314423112 = 34554162242041442, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131442319) 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, 64655 + ... + 66656.

It is an arithmetic number, because the mean of its divisors is an integer number (11030208).

Almost surely, 2131442311 is an apocalyptic number.

131442311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

131442311 is a deficient number, since it is larger than the sum of its proper divisors (45041017).

131442311 is a wasteful number, since it uses less digits than its factorization.

131442311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131342.

The product of its digits is 288, while the sum is 20.

The square root of 131442311 is about 11464.8293053146. The cubic root of 131442311 is about 508.4462657864.

Adding to 131442311 its reverse (113244131), we get a palindrome (244686442).

The spelling of 131442311 in words is "one hundred thirty-one million, four hundred forty-two thousand, three hundred eleven".

Divisors: 1 7 11 13 77 91 143 1001 131311 919177 1444421 1707043 10110947 11949301 18777473 131442311