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12313203021300 = 223522312371442621
BaseRepresentation
bin1011001100101110010000…
…0101111001010111110100
31121121010112021211002212110
42303023210011321113310
53103214414433140200
642104335105451020
72410412435532336
oct263134405712764
947533467732773
1012313203021300
113a18000112455
12146a46a940a70
136b418c99471c
14307d68417456
15165464785b50
hexb32e41795f4

12313203021300 has 144 divisors (see below), whose sum is σ = 37205244461952. Its totient is φ = 3138217843200.

The previous prime is 12313203021293. The next prime is 12313203021307. The reversal of 12313203021300 is 312030231321.

It is an interprime number because it is at equal distance from previous prime (12313203021293) and next prime (12313203021307).

It is a super-2 number, since 2×123132030213002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12313203021307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7813990 + ... + 9256610.

It is an arithmetic number, because the mean of its divisors is an integer number (258369753208).

Almost surely, 212313203021300 is an apocalyptic number.

12313203021300 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 12313203021300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18602622230976).

12313203021300 is an abundant number, since it is smaller than the sum of its proper divisors (24892041440652).

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

12313203021300 is a wasteful number, since it uses less digits than its factorization.

12313203021300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1443898 (or 1443891 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 12313203021300 its reverse (312030231321), we get a palindrome (12625233252621).

The spelling of 12313203021300 in words is "twelve trillion, three hundred thirteen billion, two hundred three million, twenty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 25 30 46 50 60 69 75 92 100 115 138 150 230 276 300 345 460 575 690 1150 1237 1380 1725 2300 2474 3450 3711 4948 6185 6900 7422 12370 14844 18555 24740 28451 30925 37110 56902 61850 74220 85353 92775 113804 123700 142255 170706 185550 284510 341412 371100 426765 569020 711275 853530 1422550 1442621 1707060 2133825 2845100 2885242 4267650 4327863 5770484 7213105 8535300 8655726 14426210 17311452 21639315 28852420 33180283 36065525 43278630 66360566 72131050 86557260 99540849 108196575 132721132 144262100 165901415 199081698 216393150 331802830 398163396 432786300 497704245 663605660 829507075 995408490 1659014150 1784522177 1990816980 2488521225 3318028300 3569044354 4977042450 5353566531 7138088708 8922610885 9954084900 10707133062 17845221770 21414266124 26767832655 35690443540 41044010071 44613054425 53535665310 82088020142 89226108850 107071330620 123132030213 133839163275 164176040284 178452217700 205220050355 246264060426 267678326550 410440100710 492528120852 535356653100 615660151065 820880201420 1026100251775 1231320302130 2052200503550 2462640604260 3078300755325 4104401007100 6156601510650 12313203021300