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1000212311300 = 225229344900797
BaseRepresentation
bin11101000111000010100…
…11001010110100000100
310112121201111220221211112
432203201103022310010
5112341413322430200
62043254033024152
7132156123240266
oct16434123126404
93477644827745
101000212311300
11356207857584
12141a210b5058
1373420273727
14365a6711b36
151b040203535
hexe8e14cad04

1000212311300 has 36 divisors (see below), whose sum is σ = 2245304194980. Its totient is φ = 386288891520.

The previous prime is 1000212311261. The next prime is 1000212311341. The reversal of 1000212311300 is 31132120001.

It can be written as a sum of positive squares in 6 ways, for example, as 45011016964 + 955201294336 = 212158^2 + 977344^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 172447499 + ... + 172453298.

Almost surely, 21000212311300 is an apocalyptic number.

1000212311300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000212311300 is an abundant number, since it is smaller than the sum of its proper divisors (1245091883680).

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

1000212311300 is a wasteful number, since it uses less digits than its factorization.

1000212311300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344900840 (or 344900833 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 1000212311300 its reverse (31132120001), we get a palindrome (1031344431301).

The spelling of 1000212311300 in words is "one trillion, two hundred twelve million, three hundred eleven thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 290 580 725 1450 2900 344900797 689801594 1379603188 1724503985 3449007970 6898015940 8622519925 10002123113 17245039850 20004246226 34490079700 40008492452 50010615565 100021231130 200042462260 250053077825 500106155650 1000212311300