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212302211223132 = 22366110903109469
BaseRepresentation
bin110000010001011001110101…
…111000101000111001011100
31000211200220010010102222000000
4300101121311320220321130
5210311324412033120012
62031310142302534300
762501220464334312
oct6021316570507134
91024626103388000
10212302211223132
116171195358a088
121b989710b97390
13916002193b204
143a5d6a62a40b2
151982703855ddc
hexc11675e28e5c

212302211223132 has 168 divisors, whose sum is σ = 566227362358560. Its totient is φ = 69600262331520.

The previous prime is 212302211223101. The next prime is 212302211223133. The reversal of 212302211223132 is 231322112203212.

212302211223132 is a `hidden beast` number, since 2 + 1 + 2 + 3 + 0 + 221 + 122 + 313 + 2 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 212302211223096 and 212302211223105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212302211223133) 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 55 ways as a sum of consecutive naturals, for example, 1939327294 + ... + 1939436762.

It is an arithmetic number, because the mean of its divisors is an integer number (3370400966420).

Almost surely, 2212302211223132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212302211223132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283113681179280).

212302211223132 is an abundant number, since it is smaller than the sum of its proper divisors (353925151135428).

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

212302211223132 is a wasteful number, since it uses less digits than its factorization.

212302211223132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120455 (or 120438 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 212302211223132 its reverse (231322112203212), we get a palindrome (443624323426344).

The spelling of 212302211223132 in words is "two hundred twelve trillion, three hundred two billion, two hundred eleven million, two hundred twenty-three thousand, one hundred thirty-two".