Search a number
-
+
131124042 = 2337794391
BaseRepresentation
bin1111101000011…
…00101101001010
3100010201210101000
413310030231022
5232031432132
621002235430
73151351560
oct764145512
9303653330
10131124042
116801a485
1237ab5b76
13212202ba
14135b3a30
15b7a187c
hex7d0cb4a

131124042 has 64 divisors (see below), whose sum is σ = 337305600. Its totient is φ = 36981360.

The previous prime is 131124011. The next prime is 131124061. The reversal of 131124042 is 240421131.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27667 + ... + 32057.

It is an arithmetic number, because the mean of its divisors is an integer number (5270400).

Almost surely, 2131124042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131124042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168652800).

131124042 is an abundant number, since it is smaller than the sum of its proper divisors (206181558).

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

131124042 is a wasteful number, since it uses less digits than its factorization.

131124042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4488 (or 4482 counting only the distinct ones).

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

The square root of 131124042 is about 11450.9406600506. The cubic root of 131124042 is about 508.0355571656.

Adding to 131124042 its reverse (240421131), we get a palindrome (371545173).

The spelling of 131124042 in words is "one hundred thirty-one million, one hundred twenty-four thousand, forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 79 126 158 189 237 378 474 553 711 1106 1422 1659 2133 3318 4266 4391 4977 8782 9954 13173 14931 26346 29862 30737 39519 61474 79038 92211 118557 184422 237114 276633 346889 553266 693778 829899 1040667 1659798 2081334 2428223 3122001 4856446 6244002 7284669 9366003 14569338 18732006 21854007 43708014 65562021 131124042