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212120202021 = 371319376118119
BaseRepresentation
bin1100010110001101011…
…0010110101100100101
3202021112000120202000120
43011203112112230211
511433410232431041
6241240252032153
721216351652650
oct3054326265445
9667460522016
10212120202021
1181a61362392
123513a762659
131700634b850
14a3a3a6c897
1557b753a366
hex3163596b25

212120202021 has 128 divisors (see below), whose sum is σ = 382508851200. Its totient is φ = 101437608960.

The previous prime is 212120202013. The next prime is 212120202023. The reversal of 212120202021 is 120202021212.

212120202021 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 212120202021 - 23 = 212120202013 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212120202023) 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 127 ways as a sum of consecutive naturals, for example, 11698000 + ... + 11716118.

It is an arithmetic number, because the mean of its divisors is an integer number (2988350400).

Almost surely, 2212120202021 is an apocalyptic number.

212120202021 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

212120202021 is a deficient number, since it is larger than the sum of its proper divisors (170388649179).

212120202021 is a wasteful number, since it uses less digits than its factorization.

212120202021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18259.

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 212120202021 its reverse (120202021212), we get a palindrome (332322223233).

It can be divided in two parts, 212 and 120202021, that multiplied together give a palindrome (25482828452).

The spelling of 212120202021 in words is "two hundred twelve billion, one hundred twenty million, two hundred two thousand, twenty-one".

Divisors: 1 3 7 13 19 21 37 39 57 61 91 111 133 183 247 259 273 399 427 481 703 741 777 793 1159 1281 1443 1729 2109 2257 2379 3367 3477 4921 5187 5551 6771 8113 9139 10101 14763 15067 15799 16653 18119 24339 27417 29341 42883 45201 47397 54357 63973 88023 105469 126833 128649 191919 205387 235547 300181 316407 344261 380499 557479 616161 670403 706641 900543 1032783 1105259 1648829 1672437 2011209 2409827 3315777 3902353 4475393 4692821 4946487 7229481 7736813 8715239 11707059 12737657 13426179 14078463 14368367 20999921 23210439 26145717 31327751 38212971 40894583 43105101 61006673 62999763 89163599 93983253 100578569 122683749 146999447 165589541 183020019 267490797 272998973 286262081 301735707 440998341 496768623 531629579 776997077 818996919 858786243 1159126787 1594888737 1910992811 2330991231 3477380361 3721407053 5438979539 5732978433 10100962001 11164221159 16316938617 30302886003 70706734007 212120202021