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1012300302320 = 245192053324397
BaseRepresentation
bin11101011101100011100…
…11001100011111110000
310120202220221121112011122
432232301303030133300
5113041142334133240
62053013324401412
7133064513411516
oct16566163143760
93522827545148
101012300302320
113603501480aa
121442353a6268
13745c8705938
1436dd1cb64b6
151b4eb5554b5
hexebb1ccc7f0

1012300302320 has 80 divisors (see below), whose sum is σ = 2478686190240. Its totient is φ = 383420500992.

The previous prime is 1012300302313. The next prime is 1012300302331. The reversal of 1012300302320 is 232030032101.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2958362 + ... + 3282758.

It is an arithmetic number, because the mean of its divisors is an integer number (30983577378).

Almost surely, 21012300302320 is an apocalyptic number.

1012300302320 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 1012300302320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1239343095120).

1012300302320 is an abundant number, since it is smaller than the sum of its proper divisors (1466385887920).

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

1012300302320 is a wasteful number, since it uses less digits than its factorization.

1012300302320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326482 (or 326476 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 1012300302320 its reverse (232030032101), we get a palindrome (1244330334421).

The spelling of 1012300302320 in words is "one trillion, twelve billion, three hundred million, three hundred two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 380 760 1520 2053 4106 8212 10265 16424 20530 32848 39007 41060 78014 82120 156028 164240 195035 312056 324397 390070 624112 648794 780140 1297588 1560280 1621985 2595176 3120560 3243970 5190352 6163543 6487940 12327086 12975880 24654172 25951760 30817715 49308344 61635430 98616688 123270860 246541720 493083440 665987041 1331974082 2663948164 3329935205 5327896328 6659870410 10655792656 12653753779 13319740820 25307507558 26639481640 50615015116 53278963280 63268768895 101230030232 126537537790 202460060464 253075075580 506150151160 1012300302320