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102313420410 = 23543976611237
BaseRepresentation
bin101111101001001011…
…0101110011001111010
3100210002101202021110010
41133102112232121322
53134014213423120
6115000243402350
710251264503265
oct1372226563172
9323071667403
10102313420410
113a4332930a3
12179b46833b6
139856ba3266
144d483c3cdc
1529dc3ac7e0
hex17d25ae67a

102313420410 has 128 divisors (see below), whose sum is σ = 254442633984. Its totient is φ = 26313154560.

The previous prime is 102313420403. The next prime is 102313420421. The reversal of 102313420410 is 14024313201.

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, 82710312 + ... + 82711548.

It is an arithmetic number, because the mean of its divisors is an integer number (1987833078).

Almost surely, 2102313420410 is an apocalyptic number.

102313420410 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 102313420410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127221316992).

102313420410 is an abundant number, since it is smaller than the sum of its proper divisors (152129213574).

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

102313420410 is a wasteful number, since it uses less digits than its factorization.

102313420410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2048.

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

Adding to 102313420410 its reverse (14024313201), we get a palindrome (116337733611).

The spelling of 102313420410 in words is "one hundred two billion, three hundred thirteen million, four hundred twenty thousand, four hundred ten".

Divisors: 1 2 3 5 6 10 15 30 43 86 97 129 194 215 258 291 430 485 582 645 661 970 1237 1290 1322 1455 1983 2474 2910 3305 3711 3966 4171 6185 6610 7422 8342 9915 12370 12513 18555 19830 20855 25026 28423 37110 41710 53191 56846 62565 64117 85269 106382 119989 125130 128234 142115 159573 170538 192351 239978 265955 284230 319146 320585 359967 384702 426345 531910 599945 641170 719934 797865 817657 852690 961755 1199890 1595730 1635314 1799835 1923510 2452971 2757031 3599670 4088285 4905942 5159527 5514062 8176570 8271093 10319054 12264855 13785155 15478581 16542186 24529710 25797635 27570310 30957162 35159251 41355465 51595270 70318502 77392905 79312729 82710930 105477753 154785810 158625458 175796255 210955506 237938187 351592510 396563645 475876374 527388765 793127290 1054777530 1189690935 2379381870 3410447347 6820894694 10231342041 17052236735 20462684082 34104473470 51156710205 102313420410