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131544414012 = 223111913952069
BaseRepresentation
bin111101010000010101…
…0000111011100111100
3110120112120000121100210
41322200222013130330
54123400332222022
6140233005152420
712334536033054
oct1724052073474
9416476017323
10131544414012
1150873435250
12215b1b5b710
13c534b4778b
14651c650564
15364d732a0c
hex1ea0a8773c

131544414012 has 48 divisors (see below), whose sum is σ = 334864252800. Its totient is φ = 39859095360.

The previous prime is 131544413977. The next prime is 131544414077. The reversal of 131544414012 is 210414445131.

It is a super-2 number, since 2×1315444140122 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2500314 + ... + 2552382.

It is an arithmetic number, because the mean of its divisors is an integer number (6976338600).

Almost surely, 2131544414012 is an apocalyptic number.

131544414012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131544414012 is an abundant number, since it is smaller than the sum of its proper divisors (203319838788).

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

131544414012 is a wasteful number, since it uses less digits than its factorization.

131544414012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71226 (or 71224 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

Adding to 131544414012 its reverse (210414445131), we get a palindrome (341958859143).

The spelling of 131544414012 in words is "one hundred thirty-one billion, five hundred forty-four million, four hundred fourteen thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 19139 38278 52069 57417 76556 104138 114834 156207 208276 210529 229668 312414 421058 572759 624828 631587 842116 1145518 1263174 1718277 2291036 2526348 3436554 6873108 996548591 1993097182 2989645773 3986194364 5979291546 10962034501 11958583092 21924069002 32886103503 43848138004 65772207006 131544414012