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211839402213 = 32373531802137
BaseRepresentation
bin1100010101001010011…
…1001100000011100101
3202020210110012122002200
43011102213030003211
511432321341332323
6241152341325113
721206402131425
oct3052247140345
9666713178080
10211839402213
118192790232a
1235080706799
1316c9011410a
14a378656485
15579ca70443
hex31529cc0e5

211839402213 has 24 divisors (see below), whose sum is σ = 315150684888. Its totient is φ = 137020004352.

The previous prime is 211839402169. The next prime is 211839402221. The reversal of 211839402213 is 312204938112.

211839402213 is a `hidden beast` number, since 2 + 1 + 1 + 8 + 39 + 402 + 213 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 128793418884 + 83045983329 = 358878^2 + 288177^2 .

It is not a de Polignac number, because 211839402213 - 28 = 211839401957 is a prime.

It is a super-2 number, since 2×2118394022132 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211839402223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 783520 + ... + 1018617.

It is an arithmetic number, because the mean of its divisors is an integer number (13131278537).

Almost surely, 2211839402213 is an apocalyptic number.

It is an amenable number.

211839402213 is a deficient number, since it is larger than the sum of its proper divisors (103311282675).

211839402213 is a wasteful number, since it uses less digits than its factorization.

211839402213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1802533 (or 1802530 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 211839402213 in words is "two hundred eleven billion, eight hundred thirty-nine million, four hundred two thousand, two hundred thirteen".

Divisors: 1 3 9 37 111 333 353 1059 3177 13061 39183 117549 1802137 5406411 16219233 66679069 200037207 600111621 636154361 1908463083 5725389249 23537711357 70613134071 211839402213