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130300013052 = 2232112268311149
BaseRepresentation
bin111100101011001111…
…1000110100111111100
3110110022211110111011100
41321112133012213330
54113323300404202
6135505313253100
712261645556656
oct1712637064774
9413284414140
10130300013052
1150294a62400
1221305264190
13c3970a8551
1464412836d6
1535c937641c
hex1e567c69fc

130300013052 has 108 divisors (see below), whose sum is σ = 362201639800. Its totient is φ = 39466595520.

The previous prime is 130300013009. The next prime is 130300013083. The reversal of 130300013052 is 250310003031.

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 (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11681574 + ... + 11692722.

Almost surely, 2130300013052 is an apocalyptic number.

130300013052 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 130300013052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181100819900).

130300013052 is an abundant number, since it is smaller than the sum of its proper divisors (231901626748).

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

130300013052 is a wasteful number, since it uses less digits than its factorization.

130300013052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13864 (or 13848 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

Adding to 130300013052 its reverse (250310003031), we get a palindrome (380610016083).

The spelling of 130300013052 in words is "one hundred thirty billion, three hundred million, thirteen thousand, fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 363 396 484 726 1089 1452 2178 2683 4356 5366 8049 10732 11149 16098 22298 24147 29513 32196 33447 44596 48294 59026 66894 88539 96588 100341 118052 122639 133788 177078 200682 245278 265617 324643 354156 367917 401364 490556 531234 649286 735834 973929 1062468 1103751 1298572 1349029 1471668 1947858 2207502 2698058 2921787 3895716 4047087 4415004 5396116 5843574 8094174 11687148 12141261 16188348 24282522 29912767 48565044 59825534 89738301 119651068 179476602 269214903 329040437 358953204 538429806 658080874 987121311 1076859612 1316161748 1974242622 2961363933 3619444807 3948485244 5922727866 7238889614 10858334421 11845455732 14477779228 21716668842 32575003263 43433337684 65150006526 130300013052