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10310211300 = 223521910117909
BaseRepresentation
bin10011001101000100…
…10101011011100100
3222121112111000000210
421212202111123210
5132103403230200
64423023335420
7513332231034
oct114642253344
928545430023
1010310211300
114410933394
121bb8a51570
13c8405205c
146db4338c4
15405237650
hex2668956e4

10310211300 has 144 divisors (see below), whose sum is σ = 31713595200. Its totient is φ = 2578752000.

The previous prime is 10310211271. The next prime is 10310211313. The reversal of 10310211300 is 311201301.

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

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, 566746 + ... + 584654.

It is an arithmetic number, because the mean of its divisors is an integer number (220233300).

Almost surely, 210310211300 is an apocalyptic number.

10310211300 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 10310211300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15856797600).

10310211300 is an abundant number, since it is smaller than the sum of its proper divisors (21403383900).

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

10310211300 is a wasteful number, since it uses less digits than its factorization.

10310211300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18046 (or 18039 counting only the distinct ones).

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

Adding to 10310211300 its reverse (311201301), we get a palindrome (10621412601).

Subtracting from 10310211300 its reverse (311201301), we obtain a palindrome (9999009999).

The spelling of 10310211300 in words is "ten billion, three hundred ten million, two hundred eleven thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 75 76 95 100 101 114 150 190 202 228 285 300 303 380 404 475 505 570 606 950 1010 1140 1212 1425 1515 1900 1919 2020 2525 2850 3030 3838 5050 5700 5757 6060 7575 7676 9595 10100 11514 15150 17909 19190 23028 28785 30300 35818 38380 47975 53727 57570 71636 89545 95950 107454 115140 143925 179090 191900 214908 268635 287850 340271 358180 447725 537270 575700 680542 895450 1020813 1074540 1343175 1361084 1701355 1790900 1808809 2041626 2686350 3402710 3617618 4083252 5104065 5372700 5426427 6805420 7235236 8506775 9044045 10208130 10852854 17013550 18088090 20416260 21705708 25520325 27132135 34027100 34367371 36176180 45220225 51040650 54264270 68734742 90440450 102081300 103102113 108528540 135660675 137469484 171836855 180880900 206204226 271321350 343673710 412408452 515510565 542642700 687347420 859184275 1031021130 1718368550 2062042260 2577552825 3436737100 5155105650 10310211300