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212033210300 = 22524754183389
BaseRepresentation
bin1100010101111000101…
…0100000011110111100
3202021021221220002210222
43011132022200132330
511433221000212200
6241223503320512
721214244356532
oct3053612403674
9667257802728
10212033210300
1181a172461aa
12351155b0138
1316cc1310c62
14a3962a6152
1557aeaa4d85
hex315e2a07bc

212033210300 has 72 divisors (see below), whose sum is σ = 470775910080. Its totient is φ = 82854316800.

The previous prime is 212033210297. The next prime is 212033210309. The reversal of 212033210300 is 3012330212.

212033210300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212033210309) 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, 2501006 + ... + 2584394.

Almost surely, 2212033210300 is an apocalyptic number.

212033210300 is a gapful number since it is divisible by the number (20) 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 212033210300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235387955040).

212033210300 is an abundant number, since it is smaller than the sum of its proper divisors (258742699780).

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

212033210300 is a wasteful number, since it uses less digits than its factorization.

212033210300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83991 (or 83984 counting only the distinct ones).

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

Adding to 212033210300 its reverse (3012330212), we get a palindrome (215045540512).

The spelling of 212033210300 in words is "two hundred twelve billion, thirty-three million, two hundred ten thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 47 50 94 100 188 235 470 541 940 1082 1175 2164 2350 2705 4700 5410 10820 13525 25427 27050 50854 54100 83389 101708 127135 166778 254270 333556 416945 508540 635675 833890 1271350 1667780 2084725 2542700 3919283 4169450 7838566 8338900 15677132 19596415 39192830 45113449 78385660 90226898 97982075 180453796 195964150 225567245 391928300 451134490 902268980 1127836225 2120332103 2255672450 4240664206 4511344900 8481328412 10601660515 21203321030 42406642060 53008302575 106016605150 212033210300