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130041342 = 23331131593
BaseRepresentation
bin1111100000001…
…00010111111110
3100001200210012000
413300010113332
5231242310332
620523123130
73136222164
oct760042776
9301623160
10130041342
116744aa92
12376734a6
1320c31552
14133b1234
15b63ab7c
hex7c045fe

130041342 has 64 divisors (see below), whose sum is σ = 301086720. Its totient is φ = 41558400.

The previous prime is 130041341. The next prime is 130041361. The reversal of 130041342 is 243140031.

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 (130041341) 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, 218998 + ... + 219590.

It is an arithmetic number, because the mean of its divisors is an integer number (4704480).

Almost surely, 2130041342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130041342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150543360).

130041342 is an abundant number, since it is smaller than the sum of its proper divisors (171045378).

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

130041342 is a wasteful number, since it uses less digits than its factorization.

130041342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766 (or 760 counting only the distinct ones).

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

The square root of 130041342 is about 11403.5670735082. The cubic root of 130041342 is about 506.6333962649.

Adding to 130041342 its reverse (243140031), we get a palindrome (373181373).

The spelling of 130041342 in words is "one hundred thirty million, forty-one thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 18 27 31 54 62 93 131 186 262 279 393 558 593 786 837 1179 1186 1674 1779 2358 3537 3558 4061 5337 7074 8122 10674 12183 16011 18383 24366 32022 36549 36766 55149 73098 77683 109647 110298 155366 165447 219294 233049 330894 466098 496341 699147 992682 1398294 2097441 2408173 4194882 4816346 7224519 14449038 21673557 43347114 65020671 130041342