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10130310016 = 276110911903
BaseRepresentation
bin10010110111101000…
…00100001110000000
3222010222222001212021
421123310010032000
5131221324410031
64353115411224
7506016133351
oct113364041600
928128861767
1010130310016
114329328942
121b68753b14
13c559b40a8
146c15a3d28
153e454d511
hex25bd04380

10130310016 has 64 divisors (see below), whose sum is σ = 20702246400. Its totient is φ = 4935997440.

The previous prime is 10130309927. The next prime is 10130310023. The reversal of 10130310016 is 61001303101.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 845121 + ... + 857023.

It is an arithmetic number, because the mean of its divisors is an integer number (323472600).

Almost surely, 210130310016 is an apocalyptic number.

10130310016 is a gapful number since it is divisible by the number (16) 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 10130310016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10351123200).

10130310016 is an abundant number, since it is smaller than the sum of its proper divisors (10571936384).

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

10130310016 is a wasteful number, since it uses less digits than its factorization.

10130310016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12087 (or 12075 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 10130310016 its reverse (61001303101), we get a palindrome (71131613117).

The spelling of 10130310016 in words is "ten billion, one hundred thirty million, three hundred ten thousand, sixteen".

Divisors: 1 2 4 8 16 32 61 64 109 122 128 218 244 436 488 872 976 1744 1952 3488 3904 6649 6976 7808 11903 13298 13952 23806 26596 47612 53192 95224 106384 190448 212768 380896 425536 726083 761792 851072 1297427 1452166 1523584 2594854 2904332 5189708 5808664 10379416 11617328 20758832 23234656 41517664 46469312 79143047 83035328 92938624 158286094 166070656 316572188 633144376 1266288752 2532577504 5065155008 10130310016