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3211212004 = 22711133141631
BaseRepresentation
bin1011111101100111…
…0011010011100100
322021210110110201221
42333121303103210
523034032241004
61250351230124
7142401565060
oct27731632344
98253413657
103211212004
1113a8711120
12757518344
133c2395c60
142266a6aa0
1513bdb5354
hexbf6734e4

3211212004 has 192 divisors, whose sum is σ = 7991230464. Its totient is φ = 1088640000.

The previous prime is 3211212001. The next prime is 3211212013. The reversal of 3211212004 is 4002121123.

It is not an unprimeable number, because it can be changed into a prime (3211212001) 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 63 ways as a sum of consecutive naturals, for example, 5088769 + ... + 5089399.

It is an arithmetic number, because the mean of its divisors is an integer number (41620992).

Almost surely, 23211212004 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 3211212004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3995615232).

3211212004 is an abundant number, since it is smaller than the sum of its proper divisors (4780018460).

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

3211212004 is a wasteful number, since it uses less digits than its factorization.

3211212004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 738 (or 736 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 3211212004 is about 56667.5568910466. The cubic root of 3211212004 is about 1475.3316506365.

Adding to 3211212004 its reverse (4002121123), we get a palindrome (7213333127).

The spelling of 3211212004 in words is "three billion, two hundred eleven million, two hundred twelve thousand, four".