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3120500000 = 2556792
BaseRepresentation
bin1011100111111111…
…0000110100100000
322001110202211021002
42321333300310200
522342322000000
61233351051132
7140220545432
oct27177606440
98043684232
103120500000
111361493922
12731070aa8
133a9654c07
14218612652
15133e478d5
hexb9ff0d20

3120500000 has 126 divisors (see below), whose sum is σ = 7777693413. Its totient is φ = 1232400000.

The previous prime is 3120499951. The next prime is 3120500003. The reversal of 3120500000 is 50213.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 4 ways, for example, as 532132624 + 2588367376 = 23068^2 + 50876^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=39500.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3120500003) 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 20 ways as a sum of consecutive naturals, for example, 39499961 + ... + 39500039.

Almost surely, 23120500000 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 3120500000

3120500000 is an abundant number, since it is smaller than the sum of its proper divisors (4657193413).

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

3120500000 is an frugal number, since it uses more digits than its factorization.

3120500000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 11.

The square root of 3120500000 is about 55861.4357137373. The cubic root of 3120500000 is about 1461.3067677327.

Adding to 3120500000 its reverse (50213), we get a palindrome (3120550213).

The spelling of 3120500000 in words is "three billion, one hundred twenty million, five hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 79 80 100 125 158 160 200 250 316 395 400 500 625 632 790 800 1000 1250 1264 1580 1975 2000 2500 2528 3125 3160 3950 4000 5000 6241 6250 6320 7900 9875 10000 12482 12500 12640 15625 15800 19750 20000 24964 25000 31205 31250 31600 39500 49375 49928 50000 62410 62500 63200 79000 98750 99856 100000 124820 125000 156025 158000 197500 199712 246875 249640 250000 312050 316000 395000 493750 499280 500000 624100 780125 790000 987500 998560 1234375 1248200 1560250 1580000 1975000 2468750 2496400 3120500 3900625 3950000 4937500 4992800 6241000 7801250 7900000 9875000 12482000 15602500 19503125 19750000 24964000 31205000 39006250 39500000 62410000 78012500 97515625 124820000 156025000 195031250 312050000 390062500 624100000 780125000 1560250000 3120500000