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211444241013 = 32612291681853
BaseRepresentation
bin1100010011101100001…
…1110001001001110101
3202012202220122100211200
43010323003301021311
511431014211203023
6241045223523113
721163533252105
oct3047303611165
9665686570750
10211444241013
1181744841925
1234b902b9499
1316c292a8115
14a33bd91205
155778015743
hex313b0f1275

211444241013 has 24 divisors (see below), whose sum is σ = 311782094520. Its totient is φ = 138046412160.

The previous prime is 211444241011. The next prime is 211444241117. The reversal of 211444241013 is 310142444112.

211444241013 is a `hidden beast` number, since 2 + 114 + 442 + 4 + 101 + 3 = 666.

211444241013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 6422740164 + 205021500849 = 80142^2 + 452793^2 .

It is not a de Polignac number, because 211444241013 - 21 = 211444241011 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211444241011) 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 23 ways as a sum of consecutive naturals, for example, 715206 + ... + 966647.

It is an arithmetic number, because the mean of its divisors is an integer number (12990920605).

Almost surely, 2211444241013 is an apocalyptic number.

It is an amenable number.

211444241013 is a deficient number, since it is larger than the sum of its proper divisors (100337853507).

211444241013 is a wasteful number, since it uses less digits than its factorization.

211444241013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1682149 (or 1682146 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 211444241013 its reverse (310142444112), we get a palindrome (521586685125).

The spelling of 211444241013 in words is "two hundred eleven billion, four hundred forty-four million, two hundred forty-one thousand, thirteen".

Divisors: 1 3 9 61 183 229 549 687 2061 13969 41907 125721 1681853 5045559 15136677 102593033 307779099 385144337 923337297 1155433011 3466299033 23493804557 70481413671 211444241013