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3243130100 = 22527311031451
BaseRepresentation
bin1100000101001110…
…0011110011110100
322101000112002010122
43001103203303310
523120220130400
61253451311112
7143240102540
oct30123436364
98330462118
103243130100
111414731711
1276614b498
133c8b8ccc2
1422aa14a20
1513eabc685
hexc14e3cf4

3243130100 has 144 divisors (see below), whose sum is σ = 8388796416. Its totient is φ = 1064880000.

The previous prime is 3243130091. The next prime is 3243130151. The reversal of 3243130100 is 10313423.

It is a happy number.

3243130100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2234375 + ... + 2235825.

Almost surely, 23243130100 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 3243130100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4194398208).

3243130100 is an abundant number, since it is smaller than the sum of its proper divisors (5145666316).

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

3243130100 is a wasteful number, since it uses less digits than its factorization.

3243130100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1606 (or 1599 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 3243130100 is about 56948.4863714568. The cubic root of 3243130100 is about 1480.2036029850.

Adding to 3243130100 its reverse (10313423), we get a palindrome (3253443523).

The spelling of 3243130100 in words is "three billion, two hundred forty-three million, one hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 31 35 50 62 70 100 103 124 140 155 175 206 217 310 350 412 434 515 620 700 721 775 868 1030 1085 1442 1451 1550 2060 2170 2575 2884 2902 3100 3193 3605 4340 5150 5425 5804 6386 7210 7255 10157 10300 10850 12772 14420 14510 15965 18025 20314 21700 22351 29020 31930 36050 36275 40628 44702 44981 50785 63860 72100 72550 79825 89404 89962 101570 111755 145100 149453 159650 179924 203140 223510 224905 253925 298906 314867 319300 447020 449810 507850 558775 597812 629734 747265 899620 1015700 1046171 1117550 1124525 1259468 1494530 1574335 2092342 2235100 2249050 2989060 3148670 3736325 4184684 4498100 4633043 5230855 6297340 7472650 7871675 9266086 10461710 14945300 15743350 18532172 20923420 23165215 26154275 31486700 32431301 46330430 52308550 64862602 92660860 104617100 115826075 129725204 162156505 231652150 324313010 463304300 648626020 810782525 1621565050 3243130100