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3331140120 = 2333571141977
BaseRepresentation
bin1100011010001101…
…0010101000011000
322121011010110012000
43012203102220120
523310232440440
61310313521000
7145356136530
oct30643225030
98534113160
103331140120
11145a383970
1278b713160
13411196239
142385a44c0
151476a4730
hexc68d2a18

3331140120 has 512 divisors, whose sum is σ = 14195865600. Its totient is φ = 674611200.

The previous prime is 3331140119. The next prime is 3331140139. The reversal of 3331140120 is 210411333.

It is a super-2 number, since 2×33311401202 = 22192988998147228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3331140093 and 3331140102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3409072 + ... + 3410048.

It is an arithmetic number, because the mean of its divisors is an integer number (27726300).

Almost surely, 23331140120 is an apocalyptic number.

3331140120 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 3331140120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7097932800).

3331140120 is an abundant number, since it is smaller than the sum of its proper divisors (10864725480).

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

3331140120 is a wasteful number, since it uses less digits than its factorization.

3331140120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1056 (or 1046 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 3331140120 is about 57716.0300090018. The cubic root of 3331140120 is about 1493.4738877501.

Adding to 3331140120 its reverse (210411333), we get a palindrome (3541551453).

The spelling of 3331140120 in words is "three billion, three hundred thirty-one million, one hundred forty thousand, one hundred twenty".