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130034453052 = 223721277173177
BaseRepresentation
bin111100100011010101…
…0000100101000111100
3110102122022202122022210
41321012222010220330
54112302304444202
6135423105340420
712252242420400
oct1710652045074
9412568678283
10130034453052
1150169071229
1221250337710
13c35407865a
146417cb7100
1535b0dbbc6c
hex1e46a84a3c

130034453052 has 72 divisors (see below), whose sum is σ = 353229088464. Its totient is φ = 37123392768.

The previous prime is 130034453047. The next prime is 130034453057. The reversal of 130034453052 is 250354430031.

It is an interprime number because it is at equal distance from previous prime (130034453047) and next prime (130034453057).

It is a super-2 number, since 2×1300344530522 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130034453057) 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 23 ways as a sum of consecutive naturals, for example, 664288 + ... + 837464.

It is an arithmetic number, because the mean of its divisors is an integer number (4905959562).

Almost surely, 2130034453052 is an apocalyptic number.

130034453052 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 130034453052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176614544232).

130034453052 is an abundant number, since it is smaller than the sum of its proper divisors (223194635412).

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

130034453052 is a wasteful number, since it uses less digits than its factorization.

130034453052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174475 (or 174466 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

Adding to 130034453052 its reverse (250354430031), we get a palindrome (380388883083).

The spelling of 130034453052 in words is "one hundred thirty billion, thirty-four million, four hundred fifty-three thousand, fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 588 1277 2554 3831 5108 7662 8939 15324 17878 26817 35756 53634 62573 107268 125146 173177 187719 250292 346354 375438 519531 692708 750876 1039062 1212239 2078124 2424478 3636717 4848956 7273434 8485673 14546868 16971346 25457019 33942692 50914038 101828076 221147029 442294058 663441087 884588116 1326882174 1548029203 2653764348 3096058406 4644087609 6192116812 9288175218 10836204421 18576350436 21672408842 32508613263 43344817684 65017226526 130034453052