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130412412 = 2232133189101
BaseRepresentation
bin1111100010111…
…10111101111100
3100002101122012100
413301132331330
5231341144122
620535105100
73142326054
oct761367574
9302348170
10130412412
1167683859
1237812190
1321031410
141346a564
15b6b0aac
hex7c5ef7c

130412412 has 144 divisors (see below), whose sum is σ = 374250240. Its totient is φ = 38016000.

The previous prime is 130412393. The next prime is 130412453. The reversal of 130412412 is 214214031.

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

It is a congruent number.

It is an unprimeable number.

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, 1291162 + ... + 1291262.

It is an arithmetic number, because the mean of its divisors is an integer number (2598960).

Almost surely, 2130412412 is an apocalyptic number.

130412412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130412412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187125120).

130412412 is an abundant number, since it is smaller than the sum of its proper divisors (243837828).

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

130412412 is a wasteful number, since it uses less digits than its factorization.

130412412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 239 counting only the distinct ones).

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

The square root of 130412412 is about 11419.8253927107. The cubic root of 130412412 is about 507.1148275796.

Adding to 130412412 its reverse (214214031), we get a palindrome (344626443).

The spelling of 130412412 in words is "one hundred thirty million, four hundred twelve thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 31 36 39 52 62 78 89 93 101 117 124 156 178 186 202 234 267 279 303 356 372 403 404 468 534 558 606 801 806 909 1068 1116 1157 1209 1212 1313 1602 1612 1818 2314 2418 2626 2759 3131 3204 3471 3627 3636 3939 4628 4836 5252 5518 6262 6942 7254 7878 8277 8989 9393 10413 11036 11817 12524 13884 14508 15756 16554 17978 18786 20826 23634 24831 26967 28179 33108 35867 35956 37572 40703 41652 47268 49662 53934 56358 71734 80901 81406 99324 107601 107868 112716 116857 122109 143468 161802 162812 215202 233714 244218 278659 322803 323604 350571 366327 430404 467428 488436 557318 645606 701142 732654 835977 1051713 1114636 1291212 1402284 1465308 1671954 2103426 2507931 3343908 3622567 4206852 5015862 7245134 10031724 10867701 14490268 21735402 32603103 43470804 65206206 130412412