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131231412114 = 231137208325799
BaseRepresentation
bin111101000111000000…
…0000110111110010010
3110112201202001110110220
41322032000012332102
54122230220141424
6140141544333510
712324015412065
oct1721600067622
9415652043426
10131231412114
11507227902a0
1221525174296
13c4b504695a
1464ccc548dc
153631006579
hex1e8e006f92

131231412114 has 64 divisors (see below), whose sum is σ = 294214118400. Its totient is φ = 38672233920.

The previous prime is 131231412101. The next prime is 131231412139. The reversal of 131231412114 is 411214132131.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5073787 + ... + 5099585.

It is an arithmetic number, because the mean of its divisors is an integer number (4597095600).

Almost surely, 2131231412114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131231412114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147107059200).

131231412114 is an abundant number, since it is smaller than the sum of its proper divisors (162982706286).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131231412114 is a wasteful number, since it uses less digits than its factorization.

131231412114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27935.

The product of its digits is 576, while the sum is 24.

Adding to 131231412114 its reverse (411214132131), we get a palindrome (542445544245).

It can be divided in two parts, 131231 and 412114, that added together give a palindrome (543345).

The spelling of 131231412114 in words is "one hundred thirty-one billion, two hundred thirty-one million, four hundred twelve thousand, one hundred fourteen".

Divisors: 1 2 3 6 11 22 33 37 66 74 111 222 407 814 1221 2083 2442 4166 6249 12498 22913 25799 45826 51598 68739 77071 77397 137478 154142 154794 231213 283789 462426 567578 847781 851367 954563 1695562 1702734 1909126 2543343 2863689 5086686 5727378 10500193 21000386 31500579 53739317 63001158 107478634 161217951 322435902 591132487 1182264974 1773397461 1988354729 3546794922 3976709458 5965064187 11930128374 21871902019 43743804038 65615706057 131231412114