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12213203201130 = 2352956359941627
BaseRepresentation
bin1011000110111001101110…
…1000110110110001101010
31121020120102010111220022010
42301232123220312301222
53100100120004414010
641550400150340350
72400242363223201
oct261563350666152
947216363456263
1012213203201130
11398965489a478
12145300105a6b6
136a7914218ab9
1430319d402238
15162a60584620
hexb1b9ba36c6a

12213203201130 has 128 divisors (see below), whose sum is σ = 30427736832000. Its totient is φ = 3133647905024.

The previous prime is 12213203201123. The next prime is 12213203201153. The reversal of 12213203201130 is 3110230231221.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12213203201097 and 12213203201106.

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, 293375377 + ... + 293417003.

It is an arithmetic number, because the mean of its divisors is an integer number (237716694000).

Almost surely, 212213203201130 is an apocalyptic number.

12213203201130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12213203201130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15213868416000).

12213203201130 is an abundant number, since it is smaller than the sum of its proper divisors (18214533630870).

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

12213203201130 is a wasteful number, since it uses less digits than its factorization.

12213203201130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42828.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 12213203201130 its reverse (3110230231221), we get a palindrome (15323433432351).

The spelling of 12213203201130 in words is "twelve trillion, two hundred thirteen billion, two hundred three million, two hundred one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 29 30 58 87 145 174 290 435 563 599 870 1126 1198 1689 1797 2815 2995 3378 3594 5630 5990 8445 8985 16327 16890 17371 17970 32654 34742 41627 48981 52113 81635 83254 86855 97962 104226 124881 163270 173710 208135 244905 249762 260565 337237 416270 489810 521130 624405 674474 1011711 1207183 1248810 1686185 2023422 2414366 3372370 3621549 5058555 6035915 7243098 9779873 10117110 12071830 18107745 19559746 23436001 24934573 29339619 36215490 46872002 48899365 49869146 58679238 70308003 74803719 97798730 117180005 124672865 140616006 146698095 149607438 234360010 249345730 293396190 351540015 374018595 679644029 703080030 723102617 748037190 1359288058 1446205234 2038932087 2169307851 3398220145 3615513085 4077864174 4338615702 6796440290 7231026170 10194660435 10846539255 14038164599 20389320870 21693078510 28076329198 42114493797 70190822995 84228987594 140381645990 210572468985 407106773371 421144937970 814213546742 1221320320113 2035533866855 2442640640226 4071067733710 6106601600565 12213203201130