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1012003300300 = 225217641928699
BaseRepresentation
bin11101011101000000001…
…10001110001111001100
310120202011020202020222211
432232200012032033030
5113040040321102200
62052524034520204
7133054246056436
oct16564006161714
93522136666884
101012003300300
11360208531093
12144171a36064
137457c0175b5
1436da4683656
151b4d0439aba
hexeba018e3cc

1012003300300 has 72 divisors (see below), whose sum is σ = 2328856412400. Its totient is φ = 380394700800.

The previous prime is 1012003300291. The next prime is 1012003300307. The reversal of 1012003300300 is 30033002101.

It is not an unprimeable number, because it can be changed into a prime (1012003300307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 625351 + ... + 1554049.

It is an arithmetic number, because the mean of its divisors is an integer number (32345227950).

Almost surely, 21012003300300 is an apocalyptic number.

1012003300300 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 1012003300300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1164428206200).

1012003300300 is an abundant number, since it is smaller than the sum of its proper divisors (1316853112100).

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

1012003300300 is a wasteful number, since it uses less digits than its factorization.

1012003300300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 929371 (or 929364 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

Adding to 1012003300300 its reverse (30033002101), we get a palindrome (1042036302401).

The spelling of 1012003300300 in words is "one trillion, twelve billion, three million, three hundred thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 641 850 1282 1700 2564 3205 6410 10897 12820 16025 21794 32050 43588 54485 64100 108970 217940 272425 544850 928699 1089700 1857398 3714796 4643495 9286990 15787883 18573980 23217475 31575766 46434950 63151532 78939415 92869900 157878830 315757660 394697075 595296059 789394150 1190592118 1578788300 2381184236 2976480295 5952960590 10120033003 11905921180 14882401475 20240066006 29764802950 40480132012 50600165015 59529605900 101200330030 202400660060 253000825075 506001650150 1012003300300