Search a number
-
+
2143404200310 = 235236917336133
BaseRepresentation
bin11111001100001100110…
…110001001000101110110
321120220111112011000122020
4133030030312021011312
5240104142433402220
64320355530414010
7310566361044432
oct37141466110566
97526445130566
102143404200310
1175701587a00a
122a74a5891306
1312717848cc79
1475a5425d9c2
153ab4c9d6040
hex1f30cd89176

2143404200310 has 128 divisors (see below), whose sum is σ = 5383809248256. Its totient is φ = 545098498560.

The previous prime is 2143404200293. The next prime is 2143404200339. The reversal of 2143404200310 is 130024043412.

It is a super-2 number, since 2×21434042003102 (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 349484004 + ... + 349490136.

It is an arithmetic number, because the mean of its divisors is an integer number (42061009752).

Almost surely, 22143404200310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2143404200310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2691904624128).

2143404200310 is an abundant number, since it is smaller than the sum of its proper divisors (3240405047946).

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

2143404200310 is a wasteful number, since it uses less digits than its factorization.

2143404200310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7590.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 2143404200310 its reverse (130024043412), we get a palindrome (2273428243722).

The spelling of 2143404200310 in words is "two trillion, one hundred forty-three billion, four hundred four million, two hundred thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 115 138 230 345 690 691 733 1382 1466 2073 2199 3455 3665 4146 4398 6133 6910 7330 10365 10995 12266 15893 16859 18399 20730 21990 30665 31786 33718 36798 47679 50577 61330 79465 84295 91995 95358 101154 141059 158930 168590 183990 238395 252885 282118 423177 476790 505770 506503 705295 846354 1013006 1410590 1519509 2115885 2532515 3039018 4231770 4237903 4495489 5065030 7597545 8475806 8990978 11649569 12713709 13486467 15195090 21189515 22477445 23299138 25427418 26972934 34948707 42379030 44954890 58247845 63568545 67432335 69897414 97471769 103396247 116495690 127137090 134864670 174743535 194943538 206792494 292415307 310188741 349487070 487358845 516981235 584830614 620377482 974717690 1033962470 1462076535 1550943705 2924153070 3101887410 3106382899 6212765798 9319148697 15531914495 18638297394 31063828990 46595743485 71446806677 93191486970 142893613354 214340420031 357234033385 428680840062 714468066770 1071702100155 2143404200310