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131240142 = 233111092027
BaseRepresentation
bin1111101001010…
…01000011001110
3100010221200122000
413310221003032
5232044141032
621004533130
73152344215
oct764510316
9303850560
10131240142
1168099730
1237b511a6
13212610b7
141360407c
15b7c5e7c
hex7d290ce

131240142 has 64 divisors (see below), whose sum is σ = 321235200. Its totient is φ = 39385440.

The previous prime is 131240141. The next prime is 131240177. The reversal of 131240142 is 241042131.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131240141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63733 + ... + 65759.

It is an arithmetic number, because the mean of its divisors is an integer number (5019300).

Almost surely, 2131240142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131240142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160617600).

131240142 is an abundant number, since it is smaller than the sum of its proper divisors (189995058).

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

131240142 is a wasteful number, since it uses less digits than its factorization.

131240142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2158 (or 2152 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 131240142 is about 11456.0089909183. The cubic root of 131240142 is about 508.1854547425.

Adding to 131240142 its reverse (241042131), we get a palindrome (372282273).

The spelling of 131240142 in words is "one hundred thirty-one million, two hundred forty thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 109 198 218 297 327 594 654 981 1199 1962 2027 2398 2943 3597 4054 5886 6081 7194 10791 12162 18243 21582 22297 32373 36486 44594 54729 64746 66891 109458 133782 200673 220943 401346 441886 602019 662829 1204038 1325658 1988487 2430373 3976974 4860746 5965461 7291119 11930922 14582238 21873357 43746714 65620071 131240142