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10130030112 = 2531632232903
BaseRepresentation
bin10010110111100101…
…11111111000100000
3222010222102211220110
421123302333320200
5131221241430422
64353105411320
7506013556326
oct113362777040
928128384813
1010130030112
114329157614
121b68639b40
13c55916877
146c152dd16
153e44e560c
hex25bcbfe20

10130030112 has 96 divisors (see below), whose sum is σ = 26883698688. Its totient is φ = 3339760896.

The previous prime is 10130030083. The next prime is 10130030117. The reversal of 10130030112 is 21103003101.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (10130030117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3488053 + ... + 3490955.

It is an arithmetic number, because the mean of its divisors is an integer number (280038528).

Almost surely, 210130030112 is an apocalyptic number.

10130030112 is a gapful number since it is divisible by the number (12) 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 10130030112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13441849344).

10130030112 is an abundant number, since it is smaller than the sum of its proper divisors (16753668576).

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

10130030112 is a wasteful number, since it uses less digits than its factorization.

10130030112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3302 (or 3294 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 10130030112 its reverse (21103003101), we get a palindrome (31233033213).

The spelling of 10130030112 in words is "ten billion, one hundred thirty million, thirty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 163 223 326 446 489 652 669 892 978 1304 1338 1784 1956 2608 2676 2903 3568 3912 5216 5352 5806 7136 7824 8709 10704 11612 15648 17418 21408 23224 34836 36349 46448 69672 72698 92896 109047 139344 145396 218094 278688 290792 436188 473189 581584 647369 872376 946378 1163168 1294738 1419567 1744752 1892756 1942107 2589476 2839134 3489504 3785512 3884214 5178952 5678268 7571024 7768428 10357904 11356536 15142048 15536856 20715808 22713072 31073712 45426144 62147424 105521147 211042294 316563441 422084588 633126882 844169176 1266253764 1688338352 2532507528 3376676704 5065015056 10130030112