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3120531220 = 2251719746589
BaseRepresentation
bin1011100111111111…
…1000011100010100
322001110211102002101
42321333320130110
522342323444340
61233351451444
7140221035442
oct27177703424
98043742071
103120531220
111361505324
12731086b84
133a96661a1
1421861db92
15133e51c9a
hexb9ff8714

3120531220 has 48 divisors (see below), whose sum is σ = 6973963920. Its totient is φ = 1168799744.

The previous prime is 3120531151. The next prime is 3120531221. The reversal of 3120531220 is 221350213.

It can be written as a sum of positive squares in 8 ways, for example, as 50041476 + 3070489744 = 7074^2 + 55412^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3120531221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43686 + ... + 90274.

It is an arithmetic number, because the mean of its divisors is an integer number (145290915).

Almost surely, 23120531220 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 3120531220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3486981960).

3120531220 is an abundant number, since it is smaller than the sum of its proper divisors (3853432700).

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

3120531220 is a wasteful number, since it uses less digits than its factorization.

3120531220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46812 (or 46810 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 3120531220 is about 55861.7151544777. The cubic root of 3120531220 is about 1461.3116410805.

Adding to 3120531220 its reverse (221350213), we get a palindrome (3341881433).

The spelling of 3120531220 in words is "three billion, one hundred twenty million, five hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 197 340 394 788 985 1970 3349 3940 6698 13396 16745 33490 46589 66980 93178 186356 232945 465890 792013 931780 1584026 3168052 3960065 7920130 9178033 15840260 18356066 36712132 45890165 91780330 156026561 183560660 312053122 624106244 780132805 1560265610 3120531220