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102259297320 = 23351997462377
BaseRepresentation
bin101111100111100100…
…0010000110000101000
3100202221121220112112020
41133033020100300220
53133411340003240
6114551031344440
710250036454105
oct1371710206050
9322847815466
10102259297320
113a405786674
121799a522120
13984890326b
144d41135aac
1529d776b0d0
hex17cf210c28

102259297320 has 128 divisors (see below), whose sum is σ = 326253916800. Its totient is φ = 25567543296.

The previous prime is 102259297307. The next prime is 102259297321. The reversal of 102259297320 is 23792952201.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (102259297321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10029 + ... + 452348.

It is an arithmetic number, because the mean of its divisors is an integer number (2548858725).

Almost surely, 2102259297320 is an apocalyptic number.

102259297320 is a gapful number since it is divisible by the number (10) 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 102259297320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163126958400).

102259297320 is an abundant number, since it is smaller than the sum of its proper divisors (223994619480).

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

102259297320 is a wasteful number, since it uses less digits than its factorization.

102259297320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462507 (or 462503 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 42.

The spelling of 102259297320 in words is "one hundred two billion, two hundred fifty-nine million, two hundred ninety-seven thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 97 114 120 152 190 194 228 285 291 380 388 456 485 570 582 760 776 970 1140 1164 1455 1843 1940 2280 2328 2910 3686 3880 5529 5820 7372 9215 11058 11640 14744 18430 22116 27645 36860 44232 55290 73720 110580 221160 462377 924754 1387131 1849508 2311885 2774262 3699016 4623770 5548524 6935655 8785163 9247540 11097048 13871310 17570326 18495080 26355489 27742620 35140652 43925815 44850569 52710978 55485240 70281304 87851630 89701138 105421956 131777445 134551707 175703260 179402276 210843912 224252845 263554890 269103414 351406520 358804552 448505690 527109780 538206828 672758535 852160811 897011380 1054219560 1076413656 1345517070 1704321622 1794022760 2556482433 2691034140 3408643244 4260804055 5112964866 5382068280 6817286488 8521608110 10225929732 12782412165 17043216220 20451859464 25564824330 34086432440 51129648660 102259297320