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332023213211112 = 2334231071359115319
BaseRepresentation
bin100101101111110010010110…
…1101011100011110111101000
31121112121002221121020111120000
41023133210231223203313220
5322004332020040223422
63134053205232103000
7126635612512543563
oct11337445553436750
91545532847214500
10332023213211112
119687a288037455
12312a43a6394a60
1311335868398bb7
145bdc01b5c14da
15285ba444ddcac
hex12df92dae3de8

332023213211112 has 320 divisors, whose sum is σ = 979611235891200. Its totient is φ = 104858543053440.

The previous prime is 332023213211093. The next prime is 332023213211117. The reversal of 332023213211112 is 211112312320233.

332023213211112 is a `hidden beast` number, since 3 + 3 + 2 + 0 + 2 + 321 + 321 + 1 + 1 + 12 = 666.

It is a super-2 number, since 2×3320232132111122 (a number of 30 digits) contains 22 as substring.

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 (332023213211117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 21673940589 + ... + 21673955907.

It is an arithmetic number, because the mean of its divisors is an integer number (3061285112160).

Almost surely, 2332023213211112 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 332023213211112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489805617945600).

332023213211112 is an abundant number, since it is smaller than the sum of its proper divisors (647588022680088).

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

332023213211112 is a wasteful number, since it uses less digits than its factorization.

332023213211112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29058 (or 29045 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 332023213211112 its reverse (211112312320233), we get a palindrome (543135525531345).

The spelling of 332023213211112 in words is "three hundred thirty-two trillion, twenty-three billion, two hundred thirteen million, two hundred eleven thousand, one hundred twelve".