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211221212200011 = 32136147947617249
BaseRepresentation
bin110000000001101011000101…
…010100100111110001001011
31000200212112212110001211102200
4300001223011110213301023
5210141122020310400021
62025121404010131243
762330141354261646
oct6001530524476113
91020775773054380
10211221212200011
116133545a841272
121b834104720b23
1390b20c8583230
143a2323854aa5d
151964536084126
hexc01ac5527c4b

211221212200011 has 48 divisors (see below), whose sum is σ = 333960169452000. Its totient is φ = 127848553666560.

The previous prime is 211221212199989. The next prime is 211221212200067. The reversal of 211221212200011 is 110002212122112.

211221212200011 is a `hidden beast` number, since 21 + 1 + 221 + 212 + 200 + 0 + 11 = 666.

It is not a de Polignac number, because 211221212200011 - 26 = 211221212199947 is a prime.

It is a super-2 number, since 2×2112212122000112 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (211221212205011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 341889115 + ... + 342506363.

It is an arithmetic number, because the mean of its divisors is an integer number (6957503530250).

Almost surely, 2211221212200011 is an apocalyptic number.

211221212200011 is a deficient number, since it is larger than the sum of its proper divisors (122738957251989).

211221212200011 is a wasteful number, since it uses less digits than its factorization.

211221212200011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665276 (or 665273 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 211221212200011 its reverse (110002212122112), we get a palindrome (321223424322123).

The spelling of 211221212200011 in words is "two hundred eleven trillion, two hundred twenty-one billion, two hundred twelve million, two hundred thousand, eleven".

Divisors: 1 3 9 13 39 61 117 183 549 793 2379 7137 47947 143841 431523 617249 623311 1851747 1869933 2924767 5555241 5609799 8024237 8774301 24072711 26322903 37652189 38021971 72218133 112956567 114065913 338869701 342197739 489478457 1468435371 4405306113 29595237803 88785713409 266357140227 384738091439 1154214274317 1805309505983 3462642822951 5415928517949 16247785553847 23469023577779 70407070733337 211221212200011