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214212114301131 = 337933782011153
BaseRepresentation
bin110000101101001100100100…
…111110101100000011001011
31001002110110220120000221212000
4300231030210332230003023
5211034122402230114011
62035331404202122043
763056212612543362
oct6055144476540313
91032413816027760
10214212114301131
116228893602a951
12200378ab7b0323
13926b1672767cb
143ac7cc90267d9
1519b7236c0e356
hexc2d324fac0cb

214212114301131 has 8 divisors (see below), whose sum is σ = 317351280446160. Its totient is φ = 142808076200736.

The previous prime is 214212114301123. The next prime is 214212114301147. The reversal of 214212114301131 is 131103411212412.

214212114301131 is a `hidden beast` number, since 2 + 1 + 4 + 2 + 1 + 211 + 430 + 1 + 13 + 1 = 666.

It is not a de Polignac number, because 214212114301131 - 23 = 214212114301123 is a prime.

It is a super-2 number, since 2×2142121143011312 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 7933782011153 = 214212114301131 / (2 + 1 + 4 + 2 + 1 + 2 + 1 + 1 + 4 + 3 + 0 + 1 + 1 + 3 + 1).

It is a junction number, because it is equal to n+sod(n) for n = 214212114301095 and 214212114301104.

It is not an unprimeable number, because it can be changed into a prime (214212114305131) 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 7 ways as a sum of consecutive naturals, for example, 3966891005550 + ... + 3966891005603.

It is an arithmetic number, because the mean of its divisors is an integer number (39668910055770).

Almost surely, 2214212114301131 is an apocalyptic number.

214212114301131 is a deficient number, since it is larger than the sum of its proper divisors (103139166145029).

214212114301131 is an equidigital number, since it uses as much as digits as its factorization.

214212114301131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7933782011162 (or 7933782011156 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

Adding to 214212114301131 its reverse (131103411212412), we get a palindrome (345315525513543).

The spelling of 214212114301131 in words is "two hundred fourteen trillion, two hundred twelve billion, one hundred fourteen million, three hundred one thousand, one hundred thirty-one".

Divisors: 1 3 9 27 7933782011153 23801346033459 71404038100377 214212114301131