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204410213320 = 235193725128961
BaseRepresentation
bin1011111001011111001…
…1000101001111001000
3201112121200212201211111
42332113303011033020
511322113003311240
6233523232140104
720524322100535
oct2762763051710
9645550781744
10204410213320
11797652667a5
1233748697634
1316377c19b61
149c71ad7d8c
1554b57291ea
hex2f97cc53c8

204410213320 has 128 divisors (see below), whose sum is σ = 499212201600. Its totient is φ = 75064320000.

The previous prime is 204410213303. The next prime is 204410213341. The reversal of 204410213320 is 23312014402.

It is a junction number, because it is equal to n+sod(n) for n = 204410213291 and 204410213300.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7043640 + ... + 7072600.

It is an arithmetic number, because the mean of its divisors is an integer number (3900095325).

Almost surely, 2204410213320 is an apocalyptic number.

204410213320 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 204410213320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249606100800).

204410213320 is an abundant number, since it is smaller than the sum of its proper divisors (294801988280).

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

204410213320 is a wasteful number, since it uses less digits than its factorization.

204410213320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29279 (or 29275 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 204410213320 its reverse (23312014402), we get a palindrome (227722227722).

The spelling of 204410213320 in words is "two hundred four billion, four hundred ten million, two hundred thirteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 37 38 40 74 76 95 148 152 185 190 251 296 370 380 502 703 740 760 1004 1255 1406 1480 2008 2510 2812 3515 4769 5020 5624 7030 9287 9538 10040 14060 18574 19076 23845 28120 28961 37148 38152 46435 47690 57922 74296 92870 95380 115844 144805 176453 185740 190760 231688 289610 352906 371480 550259 579220 705812 882265 1071557 1100518 1158440 1411624 1764530 2143114 2201036 2751295 3529060 4286228 4402072 5357785 5502590 7058120 7269211 8572456 10715570 11005180 14538422 20359583 21431140 22010360 29076844 36346055 40719166 42862280 58153688 72692110 81438332 101797915 138115009 145384220 162876664 203595830 268960807 276230018 290768440 407191660 537921614 552460036 690575045 814383320 1075843228 1104920072 1344804035 1381150090 2151686456 2689608070 2762300180 5110255333 5379216140 5524600360 10220510666 10758432280 20441021332 25551276665 40882042664 51102553330 102205106660 204410213320