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101330033312 = 25193125121419
BaseRepresentation
bin101111001011110111…
…1011001101010100000
3100200112212100000221202
41132113233121222200
53130010442031222
6114314514140332
710215024033434
oct1362757315240
9320485300852
10101330033312
1139a79186892
121777b2816a8
13972b2318c1
144c9395c9c4
152980dad892
hex1797bd9aa0

101330033312 has 96 divisors (see below), whose sum is σ = 217640908800. Its totient is φ = 46262880000.

The previous prime is 101330033279. The next prime is 101330033317. The reversal of 101330033312 is 213330033101.

It is a super-2 number, since 2×1013300333122 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101330033317) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4720139 + ... + 4741557.

It is an arithmetic number, because the mean of its divisors is an integer number (2267092800).

Almost surely, 2101330033312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101330033312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108820454400).

101330033312 is an abundant number, since it is smaller than the sum of its proper divisors (116310875488).

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

101330033312 is a wasteful number, since it uses less digits than its factorization.

101330033312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21730 (or 21722 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 20.

Adding to 101330033312 its reverse (213330033101), we get a palindrome (314660066413).

The spelling of 101330033312 in words is "one hundred one billion, three hundred thirty million, thirty-three thousand, three hundred twelve".

Divisors: 1 2 4 8 16 19 31 32 38 62 76 124 152 248 251 304 496 502 589 608 992 1004 1178 2008 2356 4016 4712 4769 7781 8032 9424 9538 15562 18848 19076 21419 31124 38152 42838 62248 76304 85676 124496 147839 152608 171352 248992 295678 342704 406961 591356 663989 685408 813922 1182712 1327978 1627844 2365424 2655956 3255688 4730848 5311912 5376169 6511376 10623824 10752338 12615791 13022752 21247648 21504676 25231582 43009352 50463164 86018704 100926328 102147211 166661239 172037408 201852656 204294422 333322478 403705312 408588844 666644956 817177688 1333289912 1634355376 2666579824 3166563541 3268710752 5333159648 6333127082 12666254164 25332508328 50665016656 101330033312