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3112000000 = 2956389
BaseRepresentation
bin1011100101111101…
…0101101000000000
322000212202222110021
42321133111220000
522333133000000
61232444543224
7140055364204
oct27137255000
98025688407
103112000000
11135770872a
1272a251b14
133a796a025
1421743cb04
1513331911a
hexb97d5a00

3112000000 has 140 divisors (see below), whose sum is σ = 7792283070. Its totient is φ = 1241600000.

The previous prime is 3111999941. The next prime is 3112000013. The reversal of 3112000000 is 2113.

It can be written as a sum of positive squares in 7 ways, for example, as 2080819456 + 1031180544 = 45616^2 + 32112^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 7999806 + ... + 8000194.

Almost surely, 23112000000 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 3112000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3896141535).

3112000000 is an abundant number, since it is smaller than the sum of its proper divisors (4680283070).

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

3112000000 is an frugal number, since it uses more digits than its factorization.

3112000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 7.

The square root of 3112000000 is about 55785.3027239254. The cubic root of 3112000000 is about 1459.9787324105.

Adding to 3112000000 its reverse (2113), we get a palindrome (3112002113).

The spelling of 3112000000 in words is "three billion, one hundred twelve million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 389 400 500 512 625 640 778 800 1000 1250 1280 1556 1600 1945 2000 2500 2560 3112 3125 3200 3890 4000 5000 6224 6250 6400 7780 8000 9725 10000 12448 12500 12800 15560 15625 16000 19450 20000 24896 25000 31120 31250 32000 38900 40000 48625 49792 50000 62240 62500 64000 77800 80000 97250 99584 100000 124480 125000 155600 160000 194500 199168 200000 243125 248960 250000 311200 320000 389000 400000 486250 497920 500000 622400 778000 800000 972500 995840 1000000 1215625 1244800 1556000 1600000 1945000 2000000 2431250 2489600 3112000 3890000 4000000 4862500 4979200 6078125 6224000 7780000 8000000 9725000 12156250 12448000 15560000 19450000 24312500 24896000 31120000 38900000 48625000 62240000 77800000 97250000 124480000 155600000 194500000 311200000 389000000 622400000 778000000 1556000000 3112000000