Search a number
-
+
30110313200 = 2452119770549
BaseRepresentation
bin11100000010101101…
…101110101011110000
32212201102212101122012
4130002231232223300
5443131220010300
621455452302052
72114106303452
oct340255565360
985642771565
1030110313200
1111851539a70
125a03a71928
132abb1a9b96
141658d622d2
15bb3669435
hex702b6eaf0

30110313200 has 120 divisors (see below), whose sum is σ = 79731094800. Its totient is φ = 10836172800.

The previous prime is 30110313197. The next prime is 30110313209. The reversal of 30110313200 is 231301103.

It is a super-2 number, since 2×301103132002 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30110313209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 391526 + ... + 462074.

It is an arithmetic number, because the mean of its divisors is an integer number (664425790).

Almost surely, 230110313200 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 30110313200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39865547400).

30110313200 is an abundant number, since it is smaller than the sum of its proper divisors (49620781600).

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

30110313200 is a wasteful number, since it uses less digits than its factorization.

30110313200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70675 (or 70664 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 30110313200 its reverse (231301103), we get a palindrome (30341614303).

The spelling of 30110313200 in words is "thirty billion, one hundred ten million, three hundred thirteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 97 100 110 176 194 200 220 275 388 400 440 485 550 776 880 970 1067 1100 1552 1940 2134 2200 2425 3880 4268 4400 4850 5335 7760 8536 9700 10670 17072 19400 21340 26675 38800 42680 53350 70549 85360 106700 141098 213400 282196 352745 426800 564392 705490 776039 1128784 1410980 1552078 1763725 2821960 3104156 3527450 3880195 5643920 6208312 6843253 7054900 7760390 12416624 13686506 14109800 15520780 19400975 27373012 28219600 31041560 34216265 38801950 54746024 62083120 68432530 75275783 77603900 109492048 136865060 150551566 155207800 171081325 273730120 301103132 310415600 342162650 376378915 547460240 602206264 684325300 752757830 1204412528 1368650600 1505515660 1881894575 2737301200 3011031320 3763789150 6022062640 7527578300 15055156600 30110313200