Search a number
-
+
102322223112 = 23343597123669
BaseRepresentation
bin101111101001011100…
…0010011100000001000
3100210010000022111111010
41133102320103200020
53134023442114422
6115001200203520
710251432355164
oct1372270234010
9323100274433
10102322223112
113a43825575a
12179b76095a0
139858965b65
144d49635ca4
1529dd04ab0c
hex17d2e13808

102322223112 has 128 divisors (see below), whose sum is σ = 269951616000. Its totient is φ = 32286938880.

The previous prime is 102322222999. The next prime is 102322223123. The reversal of 102322223112 is 211322223201.

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, 4311214 + ... + 4334882.

It is an arithmetic number, because the mean of its divisors is an integer number (2108997000).

Almost surely, 2102322223112 is an apocalyptic number.

102322223112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102322223112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134975808000).

102322223112 is an abundant number, since it is smaller than the sum of its proper divisors (167629392888).

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

102322223112 is a wasteful number, since it uses less digits than its factorization.

102322223112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23851 (or 23847 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 102322223112 its reverse (211322223201), we get a palindrome (313644446313).

The spelling of 102322223112 in words is "one hundred two billion, three hundred twenty-two million, two hundred twenty-three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 43 59 71 86 118 129 142 172 177 213 236 258 284 344 354 426 472 516 568 708 852 1032 1416 1704 2537 3053 4189 5074 6106 7611 8378 9159 10148 12212 12567 15222 16756 18318 20296 23669 24424 25134 30444 33512 36636 47338 50268 60888 71007 73272 94676 100536 142014 180127 189352 284028 360254 540381 568056 720508 1017767 1080762 1396471 1441016 1680499 2035534 2161524 2792942 3053301 3360998 4071068 4189413 4323048 5041497 5585884 6106602 6721996 8142136 8378826 10082994 11171768 12213204 13443992 16757652 20165988 24426408 33515304 40331976 60048253 72261457 99149441 120096506 144522914 180144759 198298882 216784371 240193012 289045828 297448323 360289518 396597764 433568742 480386024 578091656 594896646 720579036 793195528 867137484 1189793292 1441158072 1734274968 2379586584 4263425963 8526851926 12790277889 17053703852 25580555778 34107407704 51161111556 102322223112