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130204242 = 232723179251
BaseRepresentation
bin1111100001011…
…00001001010010
3100002000001122100
413300230021102
5231313013432
620530421230
73140501130
oct760541122
9302001570
10130204242
1167551413
1237731816
1320c8a73c
1413414750
15b66e07c
hex7c2c252

130204242 has 96 divisors (see below), whose sum is σ = 339655680. Its totient is φ = 35244000.

The previous prime is 130204211. The next prime is 130204267. The reversal of 130204242 is 242402031.

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 47 ways as a sum of consecutive naturals, for example, 518617 + ... + 518867.

It is an arithmetic number, because the mean of its divisors is an integer number (3538080).

Almost surely, 2130204242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130204242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169827840).

130204242 is an abundant number, since it is smaller than the sum of its proper divisors (209451438).

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

130204242 is a wasteful number, since it uses less digits than its factorization.

130204242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 130204242 is about 11410.7073400381. The cubic root of 130204242 is about 506.8448575882.

Adding to 130204242 its reverse (242402031), we get a palindrome (372606273).

The spelling of 130204242 in words is "one hundred thirty million, two hundred four thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 23 42 46 63 69 126 138 161 179 207 251 322 358 414 483 502 537 753 966 1074 1253 1449 1506 1611 1757 2259 2506 2898 3222 3514 3759 4117 4518 5271 5773 7518 8234 10542 11277 11546 12351 15813 17319 22554 24702 28819 31626 34638 37053 40411 44929 51957 57638 74106 80822 86457 89858 103914 121233 134787 172914 242466 259371 269574 314503 363699 404361 518742 629006 727398 808722 943509 1033367 1887018 2066734 2830527 3100101 5661054 6200202 7233569 9300303 14467138 18600606 21700707 43401414 65102121 130204242