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221212132212330 = 23457157263394379
BaseRepresentation
bin110010010011000011110110…
…100011110111111001101010
31002000020200011211200220210000
4302103003312203313321222
5212443314421321243310
62102251241155403430
764411022566213050
oct6223036643677152
91060220154626700
10221212132212330
11645375a1711136
12209884875b3576
1396582a350387c
143c8aa1d7a21d0
151a8937dc9a4c0
hexc930f68f7e6a

221212132212330 has 320 divisors, whose sum is σ = 684385331984640. Its totient is φ = 50221103901696.

The previous prime is 221212132212329. The next prime is 221212132212371. The reversal of 221212132212330 is 33212231212122.

221212132212330 is a `hidden beast` number, since 2 + 2 + 1 + 2 + 1 + 2 + 1 + 322 + 1 + 2 + 330 = 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 = 221212132212294 and 221212132212303.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2343823081 + ... + 2343917459.

It is an arithmetic number, because the mean of its divisors is an integer number (2138704162452).

Almost surely, 2221212132212330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221212132212330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342192665992320).

221212132212330 is an abundant number, since it is smaller than the sum of its proper divisors (463173199772310).

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

221212132212330 is a wasteful number, since it uses less digits than its factorization.

221212132212330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97195 (or 97186 counting only the distinct ones).

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

Adding to 221212132212330 its reverse (33212231212122), we get a palindrome (254424363424452).

The spelling of 221212132212330 in words is "two hundred twenty-one trillion, two hundred twelve billion, one hundred thirty-two million, two hundred twelve thousand, three hundred thirty".