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102334102192 = 24741117119031
BaseRepresentation
bin101111101001110010…
…1100111101010110000
3100210010211200000112001
41133103211213222300
53134040012232232
6115002302543344
710251635342110
oct1372345475260
9323124600461
10102334102192
113a443a29683
12179bb597b54
13985b264aba
144d4b049040
1529de0e56e7
hex17d3967ab0

102334102192 has 80 divisors (see below), whose sum is σ = 232334129664. Its totient is φ = 42748992000.

The previous prime is 102334102183. The next prime is 102334102229. The reversal of 102334102192 is 291201433201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 102334102192.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5367717 + ... + 5386747.

Almost surely, 2102334102192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102334102192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116167064832).

102334102192 is an abundant number, since it is smaller than the sum of its proper divisors (130000027472).

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

102334102192 is a wasteful number, since it uses less digits than its factorization.

102334102192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20258 (or 20252 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

Adding to 102334102192 its reverse (291201433201), we get a palindrome (393535535393).

The spelling of 102334102192 in words is "one hundred two billion, three hundred thirty-four million, one hundred two thousand, one hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 41 56 82 112 164 287 328 574 656 1148 1171 2296 2342 4592 4684 8197 9368 16394 18736 19031 32788 38062 48011 65576 76124 96022 131152 133217 152248 192044 266434 304496 336077 384088 532868 672154 768176 780271 1065736 1344308 1560542 2131472 2688616 3121084 5377232 5461897 6242168 10923794 12484336 21847588 22285301 43695176 44570602 87390352 89141204 155997107 178282408 311994214 356564816 623988428 913697341 1247976856 1827394682 2495953712 3654789364 6395881387 7309578728 12791762774 14619157456 25583525548 51167051096 102334102192