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212003322100 = 225214331479437
BaseRepresentation
bin1100010101110001100…
…0011111100011110100
3202021012212122121220121
43011130120133203310
511433140322301400
6241220514541324
721213432335113
oct3053430374364
9667185577817
10212003322100
1181a01391809
1235107597844
1316cb8077b2b
14a392325c7a
1557ac14e21a
hex315c61f8f4

212003322100 has 36 divisors (see below), whose sum is σ = 460368557964. Its totient is φ = 84742094080.

The previous prime is 212003322007. The next prime is 212003322121. The reversal of 212003322100 is 1223300212.

It can be written as a sum of positive squares in 6 ways, for example, as 7071464464 + 204931857636 = 84092^2 + 452694^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 596419 + ... + 883018.

It is an arithmetic number, because the mean of its divisors is an integer number (12788015499).

Almost surely, 2212003322100 is an apocalyptic number.

212003322100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212003322100 is an abundant number, since it is smaller than the sum of its proper divisors (248365235864).

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

212003322100 is a wasteful number, since it uses less digits than its factorization.

212003322100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1480884 (or 1480877 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 212003322100 its reverse (1223300212), we get a palindrome (213226622312).

The spelling of 212003322100 in words is "two hundred twelve billion, three million, three hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1433 2866 5732 7165 14330 28660 35825 71650 143300 1479437 2958874 5917748 7397185 14794370 29588740 36985925 73971850 147943700 2120033221 4240066442 8480132884 10600166105 21200332210 42400664420 53000830525 106001661050 212003322100