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130103330032 = 24134174320533
BaseRepresentation
bin111100100101011000…
…0110100010011110000
3110102211010100221210001
41321022300310103300
54112422423030112
6135434005515344
712254040026044
oct1711260642360
9412733327701
10130103330032
11501a3a35555
122126b412b54
13c365412c70
1464230c6024
1535b6e74c57
hex1e4ac344f0

130103330032 has 80 divisors (see below), whose sum is σ = 278474551488. Its totient is φ = 58501416960.

The previous prime is 130103330011. The next prime is 130103330059. The reversal of 130103330032 is 230033301031.

It is a junction number, because it is equal to n+sod(n) for n = 130103329991 and 130103330009.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 6326038 + ... + 6346570.

Almost surely, 2130103330032 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 130103330032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139237275744).

130103330032 is an abundant number, since it is smaller than the sum of its proper divisors (148371221456).

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

130103330032 is a wasteful number, since it uses less digits than its factorization.

130103330032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21338 (or 21332 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 19.

Adding to 130103330032 its reverse (230033301031), we get a palindrome (360136631063).

The spelling of 130103330032 in words is "one hundred thirty billion, one hundred three million, three hundred thirty thousand, thirty-two".

Divisors: 1 2 4 8 13 16 26 41 52 82 104 164 208 328 533 656 743 1066 1486 2132 2972 4264 5944 8528 9659 11888 19318 20533 30463 38636 41066 60926 77272 82132 121852 154544 164264 243704 266929 328528 396019 487408 533858 792038 841853 1067716 1584076 1683706 2135432 3168152 3367412 4270864 6336304 6734824 10944089 13469648 15256019 21888178 30512038 43776356 61024076 87552712 122048152 175105424 198328247 244096304 396656494 625496779 793312988 1250993558 1586625976 2501987116 3173251952 5003974232 8131458127 10007948464 16262916254 32525832508 65051665016 130103330032