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212412320109 = 33111494799953
BaseRepresentation
bin1100010111010011000…
…0101100100101101101
3202022021101020212201000
43011310300230211231
511440010023220414
6241325245110513
721226526634123
oct3056460544555
9668241225630
10212412320109
11820a1242aa0
1235200558439
1317051a19ba2
14a3d078d913
1557d2eddb09
hex3174c2c96d

212412320109 has 32 divisors (see below), whose sum is σ = 345596688000. Its totient is φ = 127870721280.

The previous prime is 212412320093. The next prime is 212412320119. The reversal of 212412320109 is 901023214212.

212412320109 is a `hidden beast` number, since 212 + 412 + 3 + 20 + 10 + 9 = 666.

212412320109 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 212412320109 - 24 = 212412320093 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212412320119) 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 31 ways as a sum of consecutive naturals, for example, 2355724 + ... + 2444229.

It is an arithmetic number, because the mean of its divisors is an integer number (10799896500).

Almost surely, 2212412320109 is an apocalyptic number.

It is an amenable number.

212412320109 is a deficient number, since it is larger than the sum of its proper divisors (133184367891).

212412320109 is a wasteful number, since it uses less digits than its factorization.

212412320109 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4800122 (or 4800116 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 212412320109 in words is "two hundred twelve billion, four hundred twelve million, three hundred twenty thousand, one hundred nine".

Divisors: 1 3 9 11 27 33 99 149 297 447 1341 1639 4023 4917 14751 44253 4799953 14399859 43199577 52799483 129598731 158398449 475195347 715192997 1425586041 2145578991 6436736973 7867122967 19310210919 23601368901 70804106703 212412320109