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162001012221 = 3218000112469
BaseRepresentation
bin1001011011100000000…
…0110100010111111101
3120111011010111002201200
42112320000310113331
510123234224342341
6202231111530113
714463351612036
oct2267000642775
9514133432650
10162001012221
1162782391274
1227491989939
13123799a9919
147bab593a8d
15433249edb6
hex25b80345fd

162001012221 has 6 divisors (see below), whose sum is σ = 234001462110. Its totient is φ = 108000674808.

The previous prime is 162001012189. The next prime is 162001012231. The reversal of 162001012221 is 122210100261.

162001012221 is a `hidden beast` number, since 1 + 620 + 0 + 1 + 0 + 1 + 22 + 21 = 666.

162001012221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 144505659321 + 17495352900 = 380139^2 + 132270^2 .

It is not a de Polignac number, because 162001012221 - 25 = 162001012189 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 162001012194 and 162001012203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (162001012231) 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 5 ways as a sum of consecutive naturals, for example, 9000056226 + ... + 9000056243.

It is an arithmetic number, because the mean of its divisors is an integer number (39000243685).

Almost surely, 2162001012221 is an apocalyptic number.

It is an amenable number.

162001012221 is a deficient number, since it is larger than the sum of its proper divisors (72000449889).

162001012221 is a wasteful number, since it uses less digits than its factorization.

162001012221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18000112475 (or 18000112472 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 162001012221 its reverse (122210100261), we get a palindrome (284211112482).

The spelling of 162001012221 in words is "one hundred sixty-two billion, one million, twelve thousand, two hundred twenty-one".

Divisors: 1 3 9 18000112469 54000337407 162001012221