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332220122133300 = 223452402710184959
BaseRepresentation
bin100101110001001110000011…
…0010111011111001100110100
31121120021221012112010011110000
41023202130012113133030310
5322021043302231231200
63134323452301431300
7126656053221013122
oct11342340627371464
91546257175104400
10332220122133300
1196945842a90095
123131659a86b530
131134b2b919513b
145c0777ad4c912
152861c1b3cd300
hex12e27065df334

332220122133300 has 180 divisors, whose sum is σ = 1077193920732160. Its totient is φ = 88570024361280.

The previous prime is 332220122133283. The next prime is 332220122133301. The reversal of 332220122133300 is 3331221022233.

332220122133300 is a `hidden beast` number, since 3 + 3 + 2 + 2 + 201 + 22 + 133 + 300 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×3322201221333002 (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332220122133301) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 27526221 + ... + 37711179.

Almost surely, 2332220122133300 is an apocalyptic number.

332220122133300 is a gapful number since it is divisible by the number (30) 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 332220122133300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538596960366080).

332220122133300 is an abundant number, since it is smaller than the sum of its proper divisors (744973798598860).

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

332220122133300 is a wasteful number, since it uses less digits than its factorization.

332220122133300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10189012 (or 10188996 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 332220122133300 its reverse (3331221022233), we get a palindrome (335551343155533).

The spelling of 332220122133300 in words is "three hundred thirty-two trillion, two hundred twenty billion, one hundred twenty-two million, one hundred thirty-three thousand, three hundred".