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212102213011 = 1319101107181439
BaseRepresentation
bin1100010110001001000…
…1101110110110010011
3202021110202201210201221
43011202101232312103
511433341131304021
6241234410305511
721216043030603
oct3054221566623
9667422653657
10212102213011
1181a52195a37
1235134728297
13170026c0870
14a3a1508c03
1557b5b85241
hex316246ed93

212102213011 has 64 divisors (see below), whose sum is σ = 247005158400. Its totient is φ = 180512064000.

The previous prime is 212102213003. The next prime is 212102213051. The reversal of 212102213011 is 110312201212.

212102213011 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 212102213011 - 23 = 212102213003 is a prime.

It is a super-2 number, since 2×2121022130112 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (212102213051) 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 63 ways as a sum of consecutive naturals, for example, 483148330 + ... + 483148768.

It is an arithmetic number, because the mean of its divisors is an integer number (3859455600).

Almost surely, 2212102213011 is an apocalyptic number.

212102213011 is a deficient number, since it is larger than the sum of its proper divisors (34902945389).

212102213011 is a wasteful number, since it uses less digits than its factorization.

212102213011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 860.

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 212102213011 its reverse (110312201212), we get a palindrome (322414414223).

The spelling of 212102213011 in words is "two hundred twelve billion, one hundred two million, two hundred thirteen thousand, eleven".

Divisors: 1 13 19 101 107 181 247 439 1313 1391 1919 2033 2353 3439 5707 8341 10807 18281 19367 24947 26429 44339 44707 46973 79459 108433 140491 205333 237653 251771 347339 367973 576407 610649 842441 892487 1032967 1509721 1956067 2669329 4515407 4744273 4783649 8025359 8502113 10951733 11602331 19626373 25428871 37165273 61675549 90141187 104329667 110527469 152481821 161540147 483148549 858713413 1171835431 1982263673 2100021911 11163274369 16315554847 212102213011