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30235200221200 = 2452138965331029
BaseRepresentation
bin1101101111111101011100…
…10111100111000000010000
310222001110100002101221202211
412313332232113213000100
512430333142224034300
6144145505332121504
76240264306314632
oct667765627470020
9128043302357684
1030235200221200
1196a7749327457
12348394b466294
1313b42232b5c80
1476756a3b6a52
1537674867d4ba
hex1b7fae5e7010

30235200221200 has 120 divisors (see below), whose sum is σ = 79106730985800. Its totient is φ = 11038330490880.

The previous prime is 30235200221179. The next prime is 30235200221209. The reversal of 30235200221200 is 212200253203.

It can be written as a sum of positive squares in 12 ways, for example, as 9447582510864 + 20787617710336 = 3073692^2 + 4559344^2 .

It is not an unprimeable number, because it can be changed into a prime (30235200221209) 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, 32202715 + ... + 33128314.

It is an arithmetic number, because the mean of its divisors is an integer number (659222758215).

Almost surely, 230235200221200 is an apocalyptic number.

It is an amenable number.

30235200221200 is an abundant number, since it is smaller than the sum of its proper divisors (48871530764600).

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

30235200221200 is a wasteful number, since it uses less digits than its factorization.

30235200221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65331149 (or 65331138 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

Adding to 30235200221200 its reverse (212200253203), we get a palindrome (30447400474403).

The spelling of 30235200221200 in words is "thirty trillion, two hundred thirty-five billion, two hundred million, two hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 89 100 104 130 178 200 208 260 325 356 400 445 520 650 712 890 1040 1157 1300 1424 1780 2225 2314 2600 3560 4450 4628 5200 5785 7120 8900 9256 11570 17800 18512 23140 28925 35600 46280 57850 92560 115700 231400 462800 65331029 130662058 261324116 326655145 522648232 653310290 849303377 1045296464 1306620580 1633275725 1698606754 2613241160 3266551450 3397213508 4246516885 5226482320 5814461581 6533102900 6794427016 8493033770 11628923162 13066205800 13588854032 16986067540 21232584425 23257846324 26132411600 29072307905 33972135080 42465168850 46515692648 58144615810 67944270160 75588000553 84930337700 93031385296 116289231620 145361539525 151176001106 169860675400 232578463240 290723079050 302352002212 339721350800 377940002765 465156926480 581446158100 604704004424 755880005530 1162892316200 1209408008848 1511760011060 1889700013825 2325784632400 3023520022120 3779400027650 6047040044240 7558800055300 15117600110600 30235200221200