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211212000020021 = 711135920831716893
BaseRepresentation
bin110000000001100010100000…
…001110111100011000110101
31000200211200002102201121012012
4300001202200032330120311
5210140444134001120041
62025113241525134005
762326364154114230
oct6001424016743065
91020750072647165
10211212000020021
11613315627a9080
121b83237355a305
1390b128ab72a60
143a22a02ca2417
1519641974443eb
hexc018a03bc635

211212000020021 has 64 divisors (see below), whose sum is σ = 288530492221440. Its totient is φ = 149274007453440.

The previous prime is 211212000020017. The next prime is 211212000020057. The reversal of 211212000020021 is 120020000212112.

It is a cyclic number.

It is not a de Polignac number, because 211212000020021 - 22 = 211212000020017 is a prime.

It is a super-2 number, since 2×2112120000200212 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211212000019978 and 211212000020005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211212000020221) 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, 122161451 + ... + 123878343.

It is an arithmetic number, because the mean of its divisors is an integer number (4508288940960).

Almost surely, 2211212000020021 is an apocalyptic number.

It is an amenable number.

211212000020021 is a deficient number, since it is larger than the sum of its proper divisors (77318492201419).

211212000020021 is a wasteful number, since it uses less digits than its factorization.

211212000020021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1719066.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 211212000020021 its reverse (120020000212112), we get a palindrome (331232000232133).

The spelling of 211212000020021 in words is "two hundred eleven trillion, two hundred twelve billion, twenty thousand, twenty-one".

Divisors: 1 7 11 13 59 77 91 143 413 649 767 1001 2083 4543 5369 8437 14581 22913 27079 59059 122897 160391 189553 297869 860279 1351867 1597661 1716893 2085083 9463069 11183627 12018251 17574271 18885823 22319609 101296687 123019897 132200761 156237263 245515699 709076809 1114263557 1316856931 1718609893 3576288119 7799844899 9217998517 14485426241 25034016833 39339169309 46491745547 101397983687 211000999021 275374185163 325442218829 511409201017 1477006993147 2321010989231 2743012987273 3579864407119 16247076924617 19201090910911 30173142860003 211212000020021