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313213113300 = 223521971773939
BaseRepresentation
bin1001000111011001111…
…01001101001111010100
31002221110100201201200210
410203230331031033110
520112430024111200
6355515500005420
731425466351503
oct4435475151724
91087410651623
10313213113300
1111091870094a
1250852530870
13236c73c9549
1411233d0483a
1582326aa650
hex48ecf4d3d4

313213113300 has 144 divisors (see below), whose sum is σ = 967363084800. Its totient is φ = 78012950400.

The previous prime is 313213113293. The next prime is 313213113341. The reversal of 313213113300 is 3311312313.

It is a congruent number.

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, 17731 + ... + 791669.

It is an arithmetic number, because the mean of its divisors is an integer number (6717799200).

Almost surely, 2313213113300 is an apocalyptic number.

313213113300 is a gapful number since it is divisible by the number (30) 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 313213113300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483681542400).

313213113300 is an abundant number, since it is smaller than the sum of its proper divisors (654149971500).

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

313213113300 is a wasteful number, since it uses less digits than its factorization.

313213113300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 774046 (or 774039 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 313213113300 its reverse (3311312313), we get a palindrome (316524425613).

The spelling of 313213113300 in words is "three hundred thirteen billion, two hundred thirteen million, one hundred thirteen thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 71 75 76 95 100 114 142 150 190 213 228 284 285 300 355 380 426 475 570 710 852 950 1065 1140 1349 1420 1425 1775 1900 2130 2698 2850 3550 4047 4260 5325 5396 5700 6745 7100 8094 10650 13490 16188 20235 21300 26980 33725 40470 67450 80940 101175 134900 202350 404700 773939 1547878 2321817 3095756 3869695 4643634 7739390 9287268 11609085 14704841 15478780 19348475 23218170 29409682 38696950 44114523 46436340 54949669 58045425 58819364 73524205 77393900 88229046 109899338 116090850 147048410 164849007 176458092 219798676 220572615 232181700 274748345 294096820 329698014 367621025 441145230 549496690 659396028 735242050 824245035 882290460 1044043711 1098993380 1102863075 1373741725 1470484100 1648490070 2088087422 2205726150 2747483450 3132131133 3296980140 4121225175 4176174844 4411452300 5220218555 5494966900 6264262266 8242450350 10440437110 12528524532 15660655665 16484900700 20880874220 26101092775 31321311330 52202185550 62642622660 78303278325 104404371100 156606556650 313213113300