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130113321312 = 25313228745587
BaseRepresentation
bin111100100101101011…
…0111011100101100000
3110102211211011120020110
41321023112323211200
54112433002240222
6135435004011320
712254220661122
oct1711326734540
9412754146213
10130113321312
11501a963a107
1221272830b40
13c367500870
146424567212
1535b7c9a30c
hex1e4b5bb960

130113321312 has 96 divisors (see below), whose sum is σ = 367989253632. Its totient is φ = 40016484864.

The previous prime is 130113321301. The next prime is 130113321341. The reversal of 130113321312 is 213123311031.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2831383 + ... + 2876969.

It is an arithmetic number, because the mean of its divisors is an integer number (3833221392).

Almost surely, 2130113321312 is an apocalyptic number.

130113321312 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 130113321312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183994626816).

130113321312 is an abundant number, since it is smaller than the sum of its proper divisors (237875932320).

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

130113321312 is a wasteful number, since it uses less digits than its factorization.

130113321312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47900 (or 47892 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 130113321312 its reverse (213123311031), we get a palindrome (343236632343).

The spelling of 130113321312 in words is "one hundred thirty billion, one hundred thirteen million, three hundred twenty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 2287 4574 6861 9148 13722 18296 27444 29731 36592 45587 54888 59462 73184 89193 91174 109776 118924 136761 178386 182348 219552 237848 273522 356772 364696 475696 547044 592631 713544 729392 951392 1094088 1185262 1427088 1458784 1777893 2188176 2370524 2854176 3555786 4376352 4741048 7111572 9482096 14223144 18964192 28446288 56892576 104257469 208514938 312772407 417029876 625544814 834059752 1251089628 1355347097 1668119504 2502179256 2710694194 3336239008 4066041291 5004358512 5421388388 8132082582 10008717024 10842776776 16264165164 21685553552 32528330328 43371107104 65056660656 130113321312