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130411242 = 233132341197
BaseRepresentation
bin1111100010111…
…10101011101010
3100002101120121000
413301132223222
5231341124432
620535055430
73142322463
oct761365352
9302346530
10130411242
1167682995
1237811576
1321030a20
1413469d6a
15b6b057c
hex7c5eaea

130411242 has 128 divisors (see below), whose sum is σ = 335301120. Its totient is φ = 37255680.

The previous prime is 130411223. The next prime is 130411243. The reversal of 130411242 is 242114031.

130411242 is a `hidden beast` number, since 13 + 0 + 411 + 242 = 666.

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 (130411243) 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 63 ways as a sum of consecutive naturals, for example, 661888 + ... + 662084.

It is an arithmetic number, because the mean of its divisors is an integer number (2619540).

Almost surely, 2130411242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130411242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167650560).

130411242 is an abundant number, since it is smaller than the sum of its proper divisors (204889878).

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

130411242 is a wasteful number, since it uses less digits than its factorization.

130411242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 130411242 is about 11419.7741658931. The cubic root of 130411242 is about 507.1133110416.

Adding to 130411242 its reverse (242114031), we get a palindrome (372525273).

The spelling of 130411242 in words is "one hundred thirty million, four hundred eleven thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 13 18 23 26 27 39 41 46 54 69 78 82 117 123 138 197 207 234 246 299 351 369 394 414 533 591 598 621 702 738 897 943 1066 1107 1182 1242 1599 1773 1794 1886 2214 2561 2691 2829 3198 3546 4531 4797 5122 5319 5382 5658 7683 8073 8077 8487 9062 9594 10638 12259 13593 14391 15366 16146 16154 16974 23049 24231 24518 25461 27186 28782 36777 40779 46098 48462 50922 58903 69147 72693 73554 81558 105001 110331 117806 122337 138294 145386 176709 185771 210002 218079 220662 244674 315003 330993 353418 371542 436158 530127 557313 630006 661986 945009 1060254 1114626 1590381 1671939 1890018 2415023 2835027 3180762 3343878 4830046 5015817 5670054 7245069 10031634 14490138 21735207 43470414 65205621 130411242