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3201221010 = 2351330726737
BaseRepresentation
bin1011111011001110…
…1100000110010010
322021002122212200010
42332303230012102
523024003033020
61245353135350
7142220633601
oct27663540622
98232585603
103201221010
1113a30077a9
127540ba556
133c02a8520
14225225a38
1513b08ede0
hexbecec192

3201221010 has 64 divisors (see below), whose sum is σ = 8301186432. Its totient is φ = 785396736.

The previous prime is 3201220987. The next prime is 3201221011. The reversal of 3201221010 is 101221023.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (3201221011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106362 + ... + 133098.

It is an arithmetic number, because the mean of its divisors is an integer number (129706038).

Almost surely, 23201221010 is an apocalyptic number.

3201221010 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3201221010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4150593216).

3201221010 is an abundant number, since it is smaller than the sum of its proper divisors (5099965422).

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

3201221010 is a wasteful number, since it uses less digits than its factorization.

3201221010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27067.

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 3201221010 is about 56579.3337712632. Note that the first 3 decimals coincide. The cubic root of 3201221010 is about 1473.8000022602.

Adding to 3201221010 its reverse (101221023), we get a palindrome (3302442033).

The spelling of 3201221010 in words is "three billion, two hundred one million, two hundred twenty-one thousand, ten".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 307 390 614 921 1535 1842 3070 3991 4605 7982 9210 11973 19955 23946 26737 39910 53474 59865 80211 119730 133685 160422 267370 347581 401055 695162 802110 1042743 1737905 2085486 3475810 5213715 8208259 10427430 16416518 24624777 41041295 49249554 82082590 106707367 123123885 213414734 246247770 320122101 533536835 640244202 1067073670 1600610505 3201221010