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130035063132 = 223213277852699
BaseRepresentation
bin111100100011010110…
…0011001100101011100
3110102122100220122012100
41321012230121211130
54112302434010012
6135423130405100
712252250541142
oct1710654314534
9412570818170
10130035063132
1150169448627
1221250590790
13c354230250
146417dd5592
1535b0e8c8dc
hex1e46b1995c

130035063132 has 36 divisors (see below), whose sum is σ = 353984339800. Its totient is φ = 40010788512.

The previous prime is 130035063127. The next prime is 130035063143. The reversal of 130035063132 is 231360530031.

It is a happy number.

130035063132 is a `hidden beast` number, since 1 + 300 + 350 + 6 + 3 + 1 + 3 + 2 = 666.

130035063132 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 130035063096 and 130035063105.

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 11 ways as a sum of consecutive naturals, for example, 138925882 + ... + 138926817.

Almost surely, 2130035063132 is an apocalyptic number.

130035063132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

130035063132 is an abundant number, since it is smaller than the sum of its proper divisors (223949276668).

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

130035063132 is a wasteful number, since it uses less digits than its factorization.

130035063132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277852722 (or 277852717 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 27.

Adding to 130035063132 its reverse (231360530031), we get a palindrome (361395593163).

The spelling of 130035063132 in words is "one hundred thirty billion, thirty-five million, sixty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 277852699 555705398 833558097 1111410796 1667116194 2500674291 3334232388 3612085087 5001348582 7224170174 10002697164 10836255261 14448340348 21672510522 32508765783 43345021044 65017531566 130035063132