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212002013100 = 223522488928393
BaseRepresentation
bin1100010101110001001…
…1011111111110101100
3202021012210012010022010
43011130103133332230
511433140003404400
6241220430521220
721213415243563
oct3053423377654
9667183163263
10212002013100
1181a00678299
1235107066210
1316cb7a0a087
14a3920a4bda
1557abe91450
hex315c4dffac

212002013100 has 72 divisors (see below), whose sum is σ = 613438740880. Its totient is φ = 56529607680.

The previous prime is 212002013077. The next prime is 212002013299. The reversal of 212002013100 is 1310200212.

It is a super-2 number, since 2×2120020131002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 23 ways as a sum of consecutive naturals, for example, 7452504 + ... + 7480896.

Almost surely, 2212002013100 is an apocalyptic number.

212002013100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212002013100 is an abundant number, since it is smaller than the sum of its proper divisors (401436727780).

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

212002013100 is a wasteful number, since it uses less digits than its factorization.

212002013100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53299 (or 53292 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 212002013100 its reverse (1310200212), we get a palindrome (213312213312).

The spelling of 212002013100 in words is "two hundred twelve billion, two million, thirteen thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 24889 28393 49778 56786 74667 85179 99556 113572 124445 141965 149334 170358 248890 283930 298668 340716 373335 425895 497780 567860 622225 709825 746670 851790 1244450 1419650 1493340 1703580 1866675 2129475 2488900 2839300 3733350 4258950 7466700 8517900 706673377 1413346754 2120020131 2826693508 3533366885 4240040262 7066733770 8480080524 10600100655 14133467540 17666834425 21200201310 35333668850 42400402620 53000503275 70667337700 106001006550 212002013100