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4112002300 = 2252738915101
BaseRepresentation
bin1111010100011000…
…0010110011111100
3101121120110100201111
43311012002303330
531410133033200
61520010251404
7203620304620
oct36506026374
911546410644
104112002300
11182013320a
12969126b64
13506ba8273
142b018b180
15190eeb0ba
hexf5182cfc

4112002300 has 72 divisors (see below), whose sum is σ = 10224658080. Its totient is φ = 1406112000.

The previous prime is 4112002291. The next prime is 4112002303. The reversal of 4112002300 is 32002114.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4112002303) 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 23 ways as a sum of consecutive naturals, for example, 264750 + ... + 279850.

It is an arithmetic number, because the mean of its divisors is an integer number (142009140).

Almost surely, 24112002300 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 4112002300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5112329040).

4112002300 is an abundant number, since it is smaller than the sum of its proper divisors (6112655780).

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

4112002300 is a wasteful number, since it uses less digits than its factorization.

4112002300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15511 (or 15504 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 4112002300 is about 64124.8961012804. The cubic root of 4112002300 is about 1602.0809252331.

Adding to 4112002300 its reverse (32002114), we get a palindrome (4144004414).

The spelling of 4112002300 in words is "four billion, one hundred twelve million, two thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 389 700 778 1556 1945 2723 3890 5446 7780 9725 10892 13615 15101 19450 27230 30202 38900 54460 60404 68075 75505 105707 136150 151010 211414 272300 302020 377525 422828 528535 755050 1057070 1510100 2114140 2642675 5285350 5874289 10570700 11748578 23497156 29371445 41120023 58742890 82240046 117485780 146857225 164480092 205600115 293714450 411200230 587428900 822400460 1028000575 2056001150 4112002300