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102342310110 = 2355208320219
BaseRepresentation
bin101111101010000010…
…0111011100011011110
3100210011102010000200000
41133110010323203132
53134044112410420
6115003154515130
710252065165645
oct1372404734336
9323142100600
10102342310110
113a448625387
1217a02295aa6
13985cb79a61
144d4c18435c
1529debb7690
hex17d413b8de

102342310110 has 96 divisors (see below), whose sum is σ = 276091320960. Its totient is φ = 27276831648.

The previous prime is 102342310067. The next prime is 102342310127. The reversal of 102342310110 is 11013243201.

102342310110 is a `hidden beast` number, since 1 + 0 + 2 + 342 + 310 + 1 + 10 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5051581 + ... + 5071799.

It is an arithmetic number, because the mean of its divisors is an integer number (2875951260).

Almost surely, 2102342310110 is an apocalyptic number.

102342310110 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 102342310110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138045660480).

102342310110 is an abundant number, since it is smaller than the sum of its proper divisors (173749010850).

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

102342310110 is a wasteful number, since it uses less digits than its factorization.

102342310110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22324 (or 22312 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 102342310110 its reverse (11013243201), we get a palindrome (113355553311).

The spelling of 102342310110 in words is "one hundred two billion, three hundred forty-two million, three hundred ten thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 243 270 405 486 810 1215 2083 2430 4166 6249 10415 12498 18747 20219 20830 31245 37494 40438 56241 60657 62490 93735 101095 112482 121314 168723 181971 187470 202190 281205 303285 337446 363942 506169 545913 562410 606570 843615 909855 1012338 1091826 1637739 1687230 1819710 2530845 2729565 3275478 4913217 5061690 5459130 8188695 9826434 16377390 24566085 42116177 49132170 84232354 126348531 210580885 252697062 379045593 421161770 631742655 758091186 1137136779 1263485310 1895227965 2274273558 3411410337 3790455930 5685683895 6822820674 10234231011 11371367790 17057051685 20468462022 34114103370 51171155055 102342310110