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131230242 = 2321113172999
BaseRepresentation
bin1111101001001…
…10101000100010
3100010221012001100
413310212220202
5232043331432
621004415230
73152303313
oct764465042
9303835040
10131230242
1168092250
1237b47516
1321259740
141360060a
15b7c307c
hex7d26a22

131230242 has 96 divisors (see below), whose sum is σ = 353808000. Its totient is φ = 34536960.

The previous prime is 131230241. The next prime is 131230247. The reversal of 131230242 is 242032131.

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

It is not an unprimeable number, because it can be changed into a prime (131230241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42259 + ... + 45257.

It is an arithmetic number, because the mean of its divisors is an integer number (3685500).

Almost surely, 2131230242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131230242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176904000).

131230242 is an abundant number, since it is smaller than the sum of its proper divisors (222577758).

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

131230242 is a wasteful number, since it uses less digits than its factorization.

131230242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3048 (or 3045 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 131230242 is about 11455.5768951197. The cubic root of 131230242 is about 508.1726762271.

Adding to 131230242 its reverse (242032131), we get a palindrome (373262373).

The spelling of 131230242 in words is "one hundred thirty-one million, two hundred thirty thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 11 13 17 18 22 26 33 34 39 51 66 78 99 102 117 143 153 187 198 221 234 286 306 374 429 442 561 663 858 1122 1287 1326 1683 1989 2431 2574 2999 3366 3978 4862 5998 7293 8997 14586 17994 21879 26991 32989 38987 43758 50983 53982 65978 77974 98967 101966 116961 152949 197934 233922 296901 305898 350883 428857 458847 560813 593802 662779 701766 857714 917694 1121626 1286571 1325558 1682439 1988337 2573142 3364878 3859713 3976674 5047317 5965011 7290569 7719426 10094634 11930022 14581138 21871707 43743414 65615121 131230242