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212414013312 = 273553161493
BaseRepresentation
bin1100010111010011011…
…1001001111110000000
3202022021111102220100020
43011310313021332000
511440010441411222
6241325345253440
721226550215434
oct3056467117600
9668244386306
10212414013312
11820a219a136
1235201034280
1317052190797
14a3d0ab09c4
1557d322565c
hex3174dc9f80

212414013312 has 32 divisors (see below), whose sum is σ = 564224723880. Its totient is φ = 70804670976.

The previous prime is 212414013311. The next prime is 212414013319. The reversal of 212414013312 is 213310414212.

212414013312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212414013311) 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 3 ways as a sum of consecutive naturals, for example, 276580363 + ... + 276581130.

Almost surely, 2212414013312 is an apocalyptic number.

It is an amenable number.

212414013312 is an abundant number, since it is smaller than the sum of its proper divisors (351810710568).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

212414013312 is an equidigital number, since it uses as much as digits as its factorization.

212414013312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553161510 (or 553161498 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 212414013312 its reverse (213310414212), we get a palindrome (425724427524).

The spelling of 212414013312 in words is "two hundred twelve billion, four hundred fourteen million, thirteen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 553161493 1106322986 1659484479 2212645972 3318968958 4425291944 6637937916 8850583888 13275875832 17701167776 26551751664 35402335552 53103503328 70804671104 106207006656 212414013312