Search a number
-
+
204026133300 = 2235211301920479
BaseRepresentation
bin1011111000000011100…
…1111011101100110100
3201111121221011110002120
42332000321323230310
511320321142231200
6233421152035540
720511646342653
oct2760071735464
9644557143076
10204026133300
11795884847a0
123365bb32bb0
1316316490882
149c36ab919a
155491b5c9a0
hex2f80e7bb34

204026133300 has 144 divisors (see below), whose sum is σ = 644225433600. Its totient is φ = 49442083200.

The previous prime is 204026133299. The next prime is 204026133307. The reversal of 204026133300 is 3331620402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204026133307) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9952461 + ... + 9972939.

Almost surely, 2204026133300 is an apocalyptic number.

204026133300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204026133300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322112716800).

204026133300 is an abundant number, since it is smaller than the sum of its proper divisors (440199300300).

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

204026133300 is a wasteful number, since it uses less digits than its factorization.

204026133300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23526 (or 23519 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 204026133300 its reverse (3331620402), we get a palindrome (207357753702).

The spelling of 204026133300 in words is "two hundred four billion, twenty-six million, one hundred thirty-three thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3019 3300 6038 9057 12076 15095 18114 20479 30190 33209 36228 40958 45285 60380 61437 66418 75475 81916 90570 99627 102395 122874 132836 150950 166045 181140 199254 204790 225269 226425 245748 301900 307185 332090 398508 409580 450538 452850 498135 511975 614370 664180 675807 830225 901076 905700 996270 1023950 1126345 1228740 1351614 1535925 1660450 1992540 2047900 2252690 2490675 2703228 3071850 3320900 3379035 4505380 4981350 5631725 6143700 6758070 9962700 11263450 13516140 16895175 22526900 33790350 61826101 67580700 123652202 185478303 247304404 309130505 370956606 618261010 680087111 741913212 927391515 1236522020 1360174222 1545652525 1854783030 2040261333 2720348444 3091305050 3400435555 3709566060 4080522666 4636957575 6182610100 6800871110 8161045332 9273915150 10201306665 13601742220 17002177775 18547830300 20402613330 34004355550 40805226660 51006533325 68008711100 102013066650 204026133300