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212102210001 = 311115317773137
BaseRepresentation
bin1100010110001001000…
…1101110000111010001
3202021110202201122121110
43011202101232013101
511433341131210001
6241234410243533
721216043016043
oct3054221560721
9667422648543
10212102210001
1181a52193750
12351347265a9
13170026bc396
14a3a1507a93
1557b5b843d6
hex316246e1d1

212102210001 has 32 divisors (see below), whose sum is σ = 309052130688. Its totient is φ = 128322109440.

The previous prime is 212102209987. The next prime is 212102210017. The reversal of 212102210001 is 100012201212.

It is not a de Polignac number, because 212102210001 - 219 = 212101685713 is a prime.

It is not an unprimeable number, because it can be changed into a prime (212102210701) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 67611505 + ... + 67614641.

It is an arithmetic number, because the mean of its divisors is an integer number (9657879084).

Almost surely, 2212102210001 is an apocalyptic number.

It is an amenable number.

212102210001 is a deficient number, since it is larger than the sum of its proper divisors (96949920687).

212102210001 is a wasteful number, since it uses less digits than its factorization.

212102210001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6081.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 212102210001 its reverse (100012201212), we get a palindrome (312114411213).

The spelling of 212102210001 in words is "two hundred twelve billion, one hundred two million, two hundred ten thousand, one".

Divisors: 1 3 11 33 1153 1777 3137 3459 5331 9411 12683 19547 34507 38049 58641 103521 2048881 3616961 5574449 6146643 10850883 16723347 22537691 39786571 61318939 67613073 119359713 183956817 6427339697 19282019091 70700736667 212102210001