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165210242112 = 26331713741051
BaseRepresentation
bin1001100111011101001…
…1000011110001000000
3120210102210012212112000
42121313103003301000
510201322310221422
6203521352504000
714636030613306
oct2316723036100
9523383185460
10165210242112
1164079969183
12280286ab000
131276b82a616
147dd38a2276
15446e0c2cac
hex26774c3c40

165210242112 has 224 divisors, whose sum is σ = 518023693440. Its totient is φ = 51451084800.

The previous prime is 165210242107. The next prime is 165210242117. The reversal of 165210242112 is 211242012561.

It is a happy number.

165210242112 is a `hidden beast` number, since 1 + 6 + 521 + 0 + 24 + 2 + 112 = 666.

165210242112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (165210242107) and next prime (165210242117).

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

It is not an unprimeable number, because it can be changed into a prime (165210242117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4003987 + ... + 4045037.

Almost surely, 2165210242112 is an apocalyptic number.

165210242112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165210242112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259011846720).

165210242112 is an abundant number, since it is smaller than the sum of its proper divisors (352813451328).

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

165210242112 is a wasteful number, since it uses less digits than its factorization.

165210242112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41226 (or 41210 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 165210242112 its reverse (211242012561), we get a palindrome (376452254673).

The spelling of 165210242112 in words is "one hundred sixty-five billion, two hundred ten million, two hundred forty-two thousand, one hundred twelve".