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10130213313332 = 227432467418993
BaseRepresentation
bin1001001101101001111111…
…0001000001101100110100
31022212102211222112221022222
42103122133301001230310
52311433134102011312
633313431124141512
72063612062265360
oct223323761015464
938772758487288
1010130213313332
113256221359662
121177377b37898
13586376299058
1427043aa842a0
1512879b890672
hex9369fc41b34

10130213313332 has 72 divisors (see below), whose sum is σ = 20787023065536. Its totient is φ = 4231463894784.

The previous prime is 10130213313317. The next prime is 10130213313361. The reversal of 10130213313332 is 23331331203101.

10130213313332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23968028 + ... + 24387020.

It is an arithmetic number, because the mean of its divisors is an integer number (288708653688).

Almost surely, 210130213313332 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 10130213313332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10393511532768).

10130213313332 is an abundant number, since it is smaller than the sum of its proper divisors (10656809752204).

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

10130213313332 is a wasteful number, since it uses less digits than its factorization.

10130213313332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419557 (or 419512 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 26.

Adding to 10130213313332 its reverse (23331331203101), we get a palindrome (33461544516433).

The spelling of 10130213313332 in words is "ten trillion, one hundred thirty billion, two hundred thirteen million, three hundred thirteen thousand, three hundred thirty-two".

Divisors: 1 2 4 7 14 28 43 86 172 301 467 602 934 1204 1849 1868 3269 3698 6538 7396 12943 13076 20081 25886 40162 51772 80324 140567 281134 418993 562268 837986 863483 1675972 1726966 2932951 3453932 5865902 6044381 11731804 12088762 18016699 24177524 36033398 72066796 126116893 195669731 252233786 391339462 504467572 774718057 782678924 1369688117 1549436114 2739376234 3098872228 5423026399 5478752468 8413798433 10846052798 16827596866 21692105596 33655193732 58896589031 117793178062 235586356124 361793332619 723586665238 1447173330476 2532553328333 5065106656666 10130213313332