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3312213000 = 233531958109
BaseRepresentation
bin1100010101101100…
…0101110000001000
322112211111212001120
43011123011300020
523240411304000
61304400115240
7145036226445
oct30533056010
98484455046
103312213000
11144a726718
12785305b20
1340a29a265
14235c789cc
15145bb66a0
hexc56c5c08

3312213000 has 128 divisors (see below), whose sum is σ = 10878192000. Its totient is φ = 836755200.

The previous prime is 3312212993. The next prime is 3312213007. The reversal of 3312213000 is 3122133.

It is an interprime number because it is at equal distance from previous prime (3312212993) and next prime (3312213007).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (3312213007) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 27946 + ... + 86054.

It is an arithmetic number, because the mean of its divisors is an integer number (84985875).

Almost surely, 23312213000 is an apocalyptic number.

3312213000 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 3312213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5439096000).

3312213000 is an abundant number, since it is smaller than the sum of its proper divisors (7565979000).

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

3312213000 is a wasteful number, since it uses less digits than its factorization.

3312213000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58152 (or 58138 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 3312213000 is about 57551.8288154251. The cubic root of 3312213000 is about 1490.6399365177.

Adding to 3312213000 its reverse (3122133), we get a palindrome (3315335133).

The spelling of 3312213000 in words is "three billion, three hundred twelve million, two hundred thirteen thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 25 30 38 40 50 57 60 75 76 95 100 114 120 125 150 152 190 200 228 250 285 300 375 380 456 475 500 570 600 750 760 950 1000 1140 1425 1500 1900 2280 2375 2850 3000 3800 4750 5700 7125 9500 11400 14250 19000 28500 57000 58109 116218 174327 232436 290545 348654 464872 581090 697308 871635 1104071 1162180 1394616 1452725 1743270 2208142 2324360 2905450 3312213 3486540 4358175 4416284 5520355 5810900 6624426 6973080 7263625 8716350 8832568 11040710 11621800 13248852 14527250 16561065 17432700 21790875 22081420 26497704 27601775 29054500 33122130 34865400 43581750 44162840 55203550 58109000 66244260 82805325 87163500 110407100 132488520 138008875 165610650 174327000 220814200 276017750 331221300 414026625 552035500 662442600 828053250 1104071000 1656106500 3312213000