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211212120100221 = 3347957128601147
BaseRepresentation
bin110000000001100010100111…
…011001000000110101111101
31000200211200101210200022021000
4300001202213121000311331
5210140444410221201341
62025113301455000513
762326400142561252
oct6001424731006575
91020750353608230
10211212120100221
1161331614565109
121b8323a7809139
1390b12a99c7326
143a22a14bdd429
1519641a2c638b6
hexc018a7640d7d

211212120100221 has 32 divisors (see below), whose sum is σ = 314109247795200. Its totient is φ = 140268028304880.

The previous prime is 211212120100181. The next prime is 211212120100253. The reversal of 211212120100221 is 122001021212112.

211212120100221 is a `hidden beast` number, since 2 + 11 + 212 + 120 + 100 + 221 = 666.

It is not a de Polignac number, because 211212120100221 - 227 = 211211985882493 is a prime.

It is a super-2 number, since 2×2112121201002212 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211212120100194 and 211212120100203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211212120100321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6915831 + ... + 21685316.

It is an arithmetic number, because the mean of its divisors is an integer number (9815913993600).

Almost surely, 2211212120100221 is an apocalyptic number.

It is an amenable number.

211212120100221 is a deficient number, since it is larger than the sum of its proper divisors (102897127694979).

211212120100221 is a wasteful number, since it uses less digits than its factorization.

211212120100221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28602206 (or 28602200 counting only the distinct ones).

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

Adding to 211212120100221 its reverse (122001021212112), we get a palindrome (333213141312333).

The spelling of 211212120100221 in words is "two hundred eleven trillion, two hundred twelve billion, one hundred twenty million, one hundred thousand, two hundred twenty-one".

Divisors: 1 3 9 27 479 571 1437 1713 4311 5139 12933 15417 273509 820527 2461581 7384743 28601147 85803441 257410323 772230969 13699949413 16331254937 41099848239 48993764811 123299544717 146981294433 369898634151 440943883299 7822671114823 23468013344469 70404040033407 211212120100221