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211312130013 = 32313753386227
BaseRepresentation
bin1100010011001100101…
…1110011011111011101
3202012102201001102121200
43010303023303133131
511430231401130023
6241024144150113
721160340316615
oct3046313633735
9665381042550
10211312130013
1181687208986
1234b54008339
1316c07b0082a
14a328601a45
15576b61b743
hex31332f37dd

211312130013 has 48 divisors (see below), whose sum is σ = 329696580096. Its totient is φ = 130142712960.

The previous prime is 211312130011. The next prime is 211312130033. The reversal of 211312130013 is 310031213112.

211312130013 is a `hidden beast` number, since 211 + 312 + 130 + 0 + 13 = 666.

It is not a de Polignac number, because 211312130013 - 21 = 211312130011 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211312130011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 354006 + ... + 740232.

It is an arithmetic number, because the mean of its divisors is an integer number (6868678752).

Almost surely, 2211312130013 is an apocalyptic number.

It is an amenable number.

211312130013 is a deficient number, since it is larger than the sum of its proper divisors (118384450083).

211312130013 is a wasteful number, since it uses less digits than its factorization.

211312130013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386354 (or 386351 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 211312130013 its reverse (310031213112), we get a palindrome (521343343125).

The spelling of 211312130013 in words is "two hundred eleven billion, three hundred twelve million, one hundred thirty thousand, thirteen".

Divisors: 1 3 9 31 37 53 93 111 159 279 333 477 1147 1643 1961 3441 4929 5883 10323 14787 17649 60791 182373 386227 547119 1158681 3476043 11973037 14290399 20470031 35919111 42871197 61410093 107757333 128613591 184230279 443002369 634570961 757391147 1329007107 1903712883 2272173441 3987021321 5711138649 6816520323 23479125557 70437376671 211312130013