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32303534130 = 23357172937937
BaseRepresentation
bin11110000101011100…
…001101000000110010
310002101021210120011000
4132011130031000302
51012124201043010
622501240502430
72222340336540
oct360534150062
9102337716130
1032303534130
111277755934a
12631647aa16
13307a6a6a4a
1417c6356d90
15c90e977c0
hex78570d032

32303534130 has 512 divisors, whose sum is σ = 110867097600. Its totient is φ = 6521389056.

The previous prime is 32303534129. The next prime is 32303534149. The reversal of 32303534130 is 3143530323.

It is a happy number.

It is a super-3 number, since 3×323035341303 (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 32303534094 and 32303534103.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 34475022 + ... + 34475958.

It is an arithmetic number, because the mean of its divisors is an integer number (216537300).

Almost surely, 232303534130 is an apocalyptic number.

32303534130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 32303534130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55433548800).

32303534130 is an abundant number, since it is smaller than the sum of its proper divisors (78563563470).

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

32303534130 is a wasteful number, since it uses less digits than its factorization.

32303534130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1043 (or 1037 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 27.

The spelling of 32303534130 in words is "thirty-two billion, three hundred three million, five hundred thirty-four thousand, one hundred thirty".