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130212233312 = 25717193177173
BaseRepresentation
bin111100101000101000…
…0010000000001100000
3110110002201021210222212
41321101100100001200
54113133312431222
6135452500021252
712256531502240
oct1712120200140
9413081253885
10130212233312
115024a458167
122129b991828
13c381b53085
146433753b20
1535c17d76e2
hex1e51410060

130212233312 has 96 divisors (see below), whose sum is σ = 311820570432. Its totient is φ = 52250148864.

The previous prime is 130212233309. The next prime is 130212233317. The reversal of 130212233312 is 213332212031.

It is a super-3 number, since 3×1302122333123 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130212233317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 646358 + ... + 823530.

It is an arithmetic number, because the mean of its divisors is an integer number (3248130942).

Almost surely, 2130212233312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130212233312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155910285216).

130212233312 is an abundant number, since it is smaller than the sum of its proper divisors (181608337120).

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

130212233312 is a wasteful number, since it uses less digits than its factorization.

130212233312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177400 (or 177392 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 130212233312 its reverse (213332212031), we get a palindrome (343544445343).

The spelling of 130212233312 in words is "one hundred thirty billion, two hundred twelve million, two hundred thirty-three thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 68 112 119 136 193 224 238 272 386 476 544 772 952 1351 1544 1904 2702 3088 3281 3808 5404 6176 6562 10808 13124 21616 22967 26248 43232 45934 52496 91868 104992 177173 183736 354346 367472 708692 734944 1240211 1417384 2480422 2834768 3011941 4960844 5669536 6023882 9921688 12047764 19843376 21083587 24095528 34194389 39686752 42167174 48191056 68388778 84334348 96382112 136777556 168668696 239360723 273555112 337337392 478721446 547110224 581304613 674674784 957442892 1094220448 1162609226 1914885784 2325218452 3829771568 4069132291 4650436904 7659543136 8138264582 9300873808 16276529164 18601747616 32553058328 65106116656 130212233312