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131142203314033 = 3836831017749261
BaseRepresentation
bin11101110100010111101100…
…011100011000111101110001
3122012100001221122001112122111
4131310113230130120331301
5114142113213022022113
61142525521351005321
736423466023531052
oct3564275434307561
9565301848045574
10131142203314033
113887110699a74a
12128602a2669841
13582386ca34912
1424554606d4729
15102649a1a513d
hex7745ec718f71

131142203314033 has 16 divisors (see below), whose sum is σ = 131692733577216. Its totient is φ = 130592802954240.

The previous prime is 131142203314009. The next prime is 131142203314049. The reversal of 131142203314033 is 330413302241131.

It is a cyclic number.

It is not a de Polignac number, because 131142203314033 - 221 = 131142201216881 is a prime.

It is a super-5 number, since 5×1311422033140335 (a number of 72 digits) contains 55555 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131142203313986 and 131142203314004.

It is not an unprimeable number, because it can be changed into a prime (131142203314063) 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, 2662166623 + ... + 2662215883.

It is an arithmetic number, because the mean of its divisors is an integer number (8230795848576).

Almost surely, 2131142203314033 is an apocalyptic number.

It is an amenable number.

131142203314033 is a deficient number, since it is larger than the sum of its proper divisors (550530263183).

131142203314033 is a wasteful number, since it uses less digits than its factorization.

131142203314033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60504.

The product of its (nonzero) digits is 15552, while the sum is 31.

Adding to 131142203314033 its reverse (330413302241131), we get a palindrome (461555505555164).

The spelling of 131142203314033 in words is "one hundred thirty-one trillion, one hundred forty-two billion, two hundred three million, three hundred fourteen thousand, thirty-three".

Divisors: 1 383 683 10177 49261 261589 3897791 6950891 18866963 33645263 501329197 2662191253 12886135729 192009082451 342407841551 131142203314033