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131141124 = 223223413863
BaseRepresentation
bin1111101000100…
…00111000000100
3100010202122210200
413310100320010
5232033003444
621002450500
73151452432
oct764207004
9303678720
10131141124
11680312a4
1237b03a30
1321227cca
14135b9d52
15b7a6969
hex7d10e04

131141124 has 72 divisors (see below), whose sum is σ = 354436992. Its totient is φ = 40782720.

The previous prime is 131141117. The next prime is 131141149. The reversal of 131141124 is 421141131.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 131141097 and 131141106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32017 + ... + 35879.

It is an arithmetic number, because the mean of its divisors is an integer number (4922736).

Almost surely, 2131141124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131141124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177218496).

131141124 is an abundant number, since it is smaller than the sum of its proper divisors (223295868).

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

131141124 is a wasteful number, since it uses less digits than its factorization.

131141124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3937 (or 3932 counting only the distinct ones).

The product of its digits is 96, while the sum is 18.

The square root of 131141124 is about 11451.6865133482. The cubic root of 131141124 is about 508.0576174134.

Adding to 131141124 its reverse (421141131), we get a palindrome (552282255).

The spelling of 131141124 in words is "one hundred thirty-one million, one hundred forty-one thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 23 36 41 46 69 82 92 123 138 164 207 246 276 369 414 492 738 828 943 1476 1886 2829 3772 3863 5658 7726 8487 11316 11589 15452 16974 23178 33948 34767 46356 69534 88849 139068 158383 177698 266547 316766 355396 475149 533094 633532 799641 950298 1066188 1425447 1599282 1900596 2850894 3198564 3642809 5701788 7285618 10928427 14571236 21856854 32785281 43713708 65570562 131141124