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330241122420 = 2235114783912689
BaseRepresentation
bin1001100111000111110…
…01111010000001110100
31011120102001221012220020
410303203321322001310
520402313211404140
6411413301205140
732600453140116
oct4634371720164
91146361835806
10330241122420
11118066560160
12540051007b0
13251ac1486a1
1411dab5d53b6
1588cc5666d0
hex4ce3e7a074

330241122420 has 192 divisors, whose sum is σ = 1031508172800. Its totient is φ = 78255523840.

The previous prime is 330241122377. The next prime is 330241122457. The reversal of 330241122420 is 24221142033.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26019436 + ... + 26032124.

It is an arithmetic number, because the mean of its divisors is an integer number (5372438400).

Almost surely, 2330241122420 is an apocalyptic number.

330241122420 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 330241122420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515754086400).

330241122420 is an abundant number, since it is smaller than the sum of its proper divisors (701267050380).

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

330241122420 is a wasteful number, since it uses less digits than its factorization.

330241122420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13598 (or 13596 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 330241122420 its reverse (24221142033), we get a palindrome (354462264453).

The spelling of 330241122420 in words is "three hundred thirty billion, two hundred forty-one million, one hundred twenty-two thousand, four hundred twenty".