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130583483520 = 2735743122543
BaseRepresentation
bin111100110011101100…
…0011101010010000000
3110111001120212021112120
41321213120131102000
54114413332433040
6135553401124240
712301660203330
oct1714730352200
9414046767476
10130583483520
115041aa76a16
1221384189680
13c410a39759
14646ab930c0
1535e41bc7d0
hex1e6761d480

130583483520 has 256 divisors, whose sum is σ = 476821831680. Its totient is φ = 29777080320.

The previous prime is 130583483501. The next prime is 130583483561. The reversal of 130583483520 is 25384385031.

It is a happy number.

It is a super-2 number, since 2×1305834835202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 31 ways as a sum of consecutive naturals, for example, 5781369 + ... + 5803911.

It is an arithmetic number, because the mean of its divisors is an integer number (1862585280).

Almost surely, 2130583483520 is an apocalyptic number.

130583483520 is a gapful number since it is divisible by the number (10) 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 130583483520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238410915840).

130583483520 is an abundant number, since it is smaller than the sum of its proper divisors (346238348160).

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

130583483520 is a wasteful number, since it uses less digits than its factorization.

130583483520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23003 (or 22991 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 42.

The spelling of 130583483520 in words is "one hundred thirty billion, five hundred eighty-three million, four hundred eighty-three thousand, five hundred twenty".