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131350230 = 232511196983
BaseRepresentation
bin1111101010000…
…11111011010110
3100011011021122100
413311003323112
5232111201410
621011142530
73153313164
oct765037326
9304137570
10131350230
1168164410
1237ba4a46
132129c23b
1413632234
15b7e88c0
hex7d43ed6

131350230 has 96 divisors (see below), whose sum is σ = 392221440. Its totient is φ = 30162240.

The previous prime is 131350223. The next prime is 131350237. The reversal of 131350230 is 32053131.

131350230 is a `hidden beast` number, since 131 + 3 + 502 + 30 = 666.

It is an interprime number because it is at equal distance from previous prime (131350223) and next prime (131350237).

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131350237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15319 + ... + 22301.

It is an arithmetic number, because the mean of its divisors is an integer number (4085640).

Almost surely, 2131350230 is an apocalyptic number.

131350230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131350230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196110720).

131350230 is an abundant number, since it is smaller than the sum of its proper divisors (260871210).

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

131350230 is a wasteful number, since it uses less digits than its factorization.

131350230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7026 (or 7023 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 131350230 is about 11460.8127984013. The cubic root of 131350230 is about 508.3275085480.

The spelling of 131350230 in words is "one hundred thirty-one million, three hundred fifty thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 19 22 30 33 38 45 55 57 66 90 95 99 110 114 165 171 190 198 209 285 330 342 418 495 570 627 855 990 1045 1254 1710 1881 2090 3135 3762 6270 6983 9405 13966 18810 20949 34915 41898 62847 69830 76813 104745 125694 132677 153626 209490 230439 265354 314235 384065 398031 460878 628470 663385 691317 768130 796062 1152195 1194093 1326770 1382634 1459447 1990155 2304390 2388186 2918894 3456585 3980310 4378341 5970465 6913170 7297235 8756682 11940930 13135023 14594470 21891705 26270046 43783410 65675115 131350230