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130146237 = 33131721283
BaseRepresentation
bin1111100000111…
…01111110111101
3100001220010002000
413300131332331
5231304134422
620525252513
73140140044
oct760357675
9301803060
10130146237
1167511881
1237704139
1320c6a210
14133db55b
15b65bcac
hex7c1dfbd

130146237 has 48 divisors (see below), whose sum is σ = 220745280. Its totient is φ = 75320064.

The previous prime is 130146197. The next prime is 130146239. The reversal of 130146237 is 732641031.

130146237 is a `hidden beast` number, since 1 + 30 + 1 + 4 + 623 + 7 = 666.

It is not a de Polignac number, because 130146237 - 26 = 130146173 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 130146237.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130146239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 100798 + ... + 102080.

It is an arithmetic number, because the mean of its divisors is an integer number (4598860).

Almost surely, 2130146237 is an apocalyptic number.

130146237 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

130146237 is a deficient number, since it is larger than the sum of its proper divisors (90599043).

130146237 is a wasteful number, since it uses less digits than its factorization.

130146237 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1339 (or 1316 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 130146237 is about 11408.1653652110. The cubic root of 130146237 is about 506.7695812317.

Adding to 130146237 its reverse (732641031), we get a palindrome (862787268).

The spelling of 130146237 in words is "one hundred thirty million, one hundred forty-six thousand, two hundred thirty-seven".

Divisors: 1 3 9 13 17 27 39 51 117 153 221 289 351 459 663 867 1283 1989 2601 3757 3849 5967 7803 11271 11547 16679 21811 33813 34641 50037 65433 101439 150111 196299 283543 370787 450333 588897 850629 1112361 2551887 3337083 4820231 7655661 10011249 14460693 43382079 130146237