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131311111022311 = 1144710726699143
BaseRepresentation
bin11101110110110101000000…
…001000001010011011100111
3122012221012221002201011012211
4131312311000020022123213
5114202400123410203221
61143135254105224251
736441625512416203
oct3566650010123347
9565835832634184
10131311111022311
1138926802997990
1212888b81492087
13583677a5a972c
14245d6c5277b03
15102aa83b8d6e1
hex776d4020a6e7

131311111022311 has 8 divisors (see below), whose sum is σ = 143248810506624. Its totient is φ = 119373465830520.

The previous prime is 131311111022293. The next prime is 131311111022353. The reversal of 131311111022311 is 113220111113131.

It is a happy number.

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

It is not a de Polignac number, because 131311111022311 - 29 = 131311111021799 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131311111022381) 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 7 ways as a sum of consecutive naturals, for example, 8431395 + ... + 18267748.

It is an arithmetic number, because the mean of its divisors is an integer number (17906101313328).

Almost surely, 2131311111022311 is an apocalyptic number.

131311111022311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

131311111022311 is a deficient number, since it is larger than the sum of its proper divisors (11937699484313).

131311111022311 is a wasteful number, since it uses less digits than its factorization.

131311111022311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27146261.

The product of its (nonzero) digits is 108, while the sum is 22.

Adding to 131311111022311 its reverse (113220111113131), we get a palindrome (244531222135442).

The spelling of 131311111022311 in words is "one hundred thirty-one trillion, three hundred eleven billion, one hundred eleven million, twenty-two thousand, three hundred eleven".

Divisors: 1 11 447107 4918177 26699143 293690573 11937373729301 131311111022311