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330242121244 = 2271719411675333
BaseRepresentation
bin1001100111000111111…
…01101101111000011100
31011120102010210222000201
410303203331231320130
520402313440334434
6411413334433244
732600464500130
oct4634375557034
91146363728021
10330242121244
11118067082632
1254005502824
13251ac4081c9
1411dab7b53c0
1588cc6b2614
hex4ce3f6de1c

330242121244 has 192 divisors, whose sum is σ = 758755952640. Its totient is φ = 122357882880.

The previous prime is 330242121241. The next prime is 330242121259. The reversal of 330242121244 is 442121242033.

It is a super-2 number, since 2×3302421212442 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330242121241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 61921602 + ... + 61926934.

It is an arithmetic number, because the mean of its divisors is an integer number (3951853920).

Almost surely, 2330242121244 is an apocalyptic number.

330242121244 is a gapful number since it is divisible by the number (34) 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 330242121244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379377976320).

330242121244 is an abundant number, since it is smaller than the sum of its proper divisors (428513831396).

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

330242121244 is a wasteful number, since it uses less digits than its factorization.

330242121244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5588 (or 5586 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 330242121244 its reverse (442121242033), we get a palindrome (772363363277).

The spelling of 330242121244 in words is "three hundred thirty billion, two hundred forty-two million, one hundred twenty-one thousand, two hundred forty-four".