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10134220320 = 2532578312113
BaseRepresentation
bin10010111000000101…
…11110111000100000
3222011021022201210100
421130002332320200
5131223330022240
64353335302400
7506064310560
oct113402767040
928137281710
1010134220320
1143305597a4
121b69b1aa00
13c56752b93
146c1d00da0
153e4a71e30
hex25c0bee20

10134220320 has 288 divisors, whose sum is σ = 40002947712. Its totient is φ = 2288295936.

The previous prime is 10134220289. The next prime is 10134220351. The reversal of 10134220320 is 2302243101.

10134220320 is a `hidden beast` number, since 1 + 0 + 1 + 342 + 2 + 0 + 320 = 666.

It is an interprime number because it is at equal distance from previous prime (10134220289) and next prime (10134220351).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10134220293 and 10134220302.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 830584 + ... + 842696.

It is an arithmetic number, because the mean of its divisors is an integer number (138899124).

Almost surely, 210134220320 is an apocalyptic number.

10134220320 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 10134220320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20001473856).

10134220320 is an abundant number, since it is smaller than the sum of its proper divisors (29868727392).

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

10134220320 is a wasteful number, since it uses less digits than its factorization.

10134220320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12224 (or 12213 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 10134220320 its reverse (2302243101), we get a palindrome (12436463421).

The spelling of 10134220320 in words is "ten billion, one hundred thirty-four million, two hundred twenty thousand, three hundred twenty".