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3120430300 = 22521310722433
BaseRepresentation
bin1011100111111101…
…1111110011011100
322001110122021122121
42321333133303130
522342312232200
61233345352324
7140220135301
oct27177376334
98043567577
103120430300
111361446519
127310386a4
133a962c280
142185d50a8
15133e31e1a
hexb9fdfcdc

3120430300 has 72 divisors (see below), whose sum is σ = 7360685136. Its totient is φ = 1141340160.

The previous prime is 3120430297. The next prime is 3120430301. The reversal of 3120430300 is 30340213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3120430301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 127884 + ... + 150316.

It is an arithmetic number, because the mean of its divisors is an integer number (102231738).

Almost surely, 23120430300 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 3120430300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3680342568).

3120430300 is an abundant number, since it is smaller than the sum of its proper divisors (4240254836).

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

3120430300 is a wasteful number, since it uses less digits than its factorization.

3120430300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22567 (or 22560 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 3120430300 is about 55860.8118451567. The cubic root of 3120430300 is about 1461.2958876558.

Adding to 3120430300 its reverse (30340213), we get a palindrome (3150770513).

It can be divided in two parts, 31204 and 30300, that added together give a square (61504 = 2482).

The spelling of 3120430300 in words is "three billion, one hundred twenty million, four hundred thirty thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 107 130 214 260 325 428 535 650 1070 1300 1391 2140 2675 2782 5350 5564 6955 10700 13910 22433 27820 34775 44866 69550 89732 112165 139100 224330 291629 448660 560825 583258 1121650 1166516 1458145 2243300 2400331 2916290 4800662 5832580 7290725 9601324 12001655 14581450 24003310 29162900 31204303 48006620 60008275 62408606 120016550 124817212 156021515 240033100 312043030 624086060 780107575 1560215150 3120430300