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131142131211321 = 32199281540748193
BaseRepresentation
bin11101110100010111101000…
…001001010101110000111001
3122012100001202121101100022200
4131310113220021111300321
5114142113041042230241
61142525510253340413
736423464156626056
oct3564275011256071
9565301677340280
10131142131211321
113887107a22292a
1212860282497709
13582385ab0aca9
142455454cc602d
151026493bb14b6
hex7745e8255c39

131142131211321 has 48 divisors (see below), whose sum is σ = 191096227046400. Its totient is φ = 86661352673280.

The previous prime is 131142131211281. The next prime is 131142131211337. The reversal of 131142131211321 is 123112131241131.

131142131211321 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 4 + 21 + 312 + 1 + 1 + 321 = 666.

It is not a de Polignac number, because 131142131211321 - 210 = 131142131210297 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131142131211341) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2721162201 + ... + 2721210393.

It is an arithmetic number, because the mean of its divisors is an integer number (3981171396800).

Almost surely, 2131142131211321 is an apocalyptic number.

It is an amenable number.

131142131211321 is a deficient number, since it is larger than the sum of its proper divisors (59954095835079).

131142131211321 is a wasteful number, since it uses less digits than its factorization.

131142131211321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54086 (or 54083 counting only the distinct ones).

The product of its digits is 864, while the sum is 27.

Adding to 131142131211321 its reverse (123112131241131), we get a palindrome (254254262452452).

The spelling of 131142131211321 in words is "one hundred thirty-one trillion, one hundred forty-two billion, one hundred thirty-one million, two hundred eleven thousand, three hundred twenty-one".

Divisors: 1 3 9 199 281 597 843 1791 2529 5407 16221 48193 48663 55919 144579 167757 433737 503271 1075993 1519367 3227979 4558101 9590407 9683937 13542233 13674303 28771221 40626699 86313663 121880097 260579551 302354033 781738653 907062099 2345215959 2694904367 2721186297 8084713101 24254139303 51855330649 73222853831 155565991947 219668561493 466697975841 659005684479 14571347912369 43714043737107 131142131211321