Search a number
-
+
32513230113320 = 23511412417478363
BaseRepresentation
bin1110110010010000100111…
…00010000000101000101000
311021010020022220112201021202
413121020103202000220220
513230144043402111240
6153052212142423332
76564001103025605
oct731102342005050
9137106286481252
1032513230113320
11a3a5868865290
123791346b91b48
13151aca4a91ab8
148059121a96ac
153b5b25143315
hex1d9213880a28

32513230113320 has 128 divisors (see below), whose sum is σ = 82090899031680. Its totient is φ = 11486764032000.

The previous prime is 32513230113277. The next prime is 32513230113337. The reversal of 32513230113320 is 2331103231523.

It is a super-2 number, since 2×325132301133202 (a number of 28 digits) contains 22 as substring.

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, 608459 + ... + 8086821.

It is an arithmetic number, because the mean of its divisors is an integer number (641335148685).

Almost surely, 232513230113320 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 32513230113320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41045449515840).

32513230113320 is an abundant number, since it is smaller than the sum of its proper divisors (49577668918360).

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

32513230113320 is a wasteful number, since it uses less digits than its factorization.

32513230113320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7478667 (or 7478663 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 29.

Adding to 32513230113320 its reverse (2331103231523), we get a palindrome (34844333344843).

The spelling of 32513230113320 in words is "thirty-two trillion, five hundred thirteen billion, two hundred thirty million, one hundred thirteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 41 44 55 82 88 110 164 205 220 241 328 410 440 451 482 820 902 964 1205 1640 1804 1928 2255 2410 2651 3608 4510 4820 5302 9020 9640 9881 10604 13255 18040 19762 21208 26510 39524 49405 53020 79048 98810 106040 108691 197620 217382 395240 434764 543455 869528 1086910 2173820 4347640 7478363 14956726 29913452 37391815 59826904 74783630 82261993 149567260 164523986 299134520 306612883 329047972 411309965 613225766 658095944 822619930 1226451532 1533064415 1645239860 1802285483 2452903064 3066128830 3290479720 3372741713 3604570966 6132257660 6745483426 7209141932 9011427415 12264515320 13490966852 14418283864 16863708565 18022854830 19825140313 26981933704 33727417130 36045709660 39650280626 67454834260 72091419320 73893704803 79300561252 99125701565 134909668520 147787409606 158601122504 198251403130 295574819212 369468524015 396502806260 591149638424 738937048030 793005612520 812830752833 1477874096060 1625661505666 2955748192120 3251323011332 4064153764165 6502646022664 8128307528330 16256615056660 32513230113320