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102512442186 = 23671121719257
BaseRepresentation
bin101111101111000110…
…1111011101101001010
3100210121021020122000000
41133132031323231022
53134421141122221
6115032113223430
710256232244560
oct1373615735512
9323537218000
10102512442186
113a525668100
1217a4b261b76
1398891a721b
144d669cda30
1529eeac1e26
hex17de37bb4a

102512442186 has 672 divisors, whose sum is σ = 324044945280. Its totient is φ = 23648993280.

The previous prime is 102512442107. The next prime is 102512442211. The reversal of 102512442186 is 681244215201.

102512442186 is a `hidden beast` number, since 1 + 0 + 2 + 512 + 44 + 21 + 86 = 666.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 102512442186.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 398880970 + ... + 398881226.

It is an arithmetic number, because the mean of its divisors is an integer number (482209740).

Almost surely, 2102512442186 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102512442186, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162022472640).

102512442186 is an abundant number, since it is smaller than the sum of its proper divisors (221532503094).

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

102512442186 is a wasteful number, since it uses less digits than its factorization.

102512442186 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

Adding to 102512442186 its reverse (681244215201), we get a palindrome (783756657387).

The spelling of 102512442186 in words is "one hundred two billion, five hundred twelve million, four hundred forty-two thousand, one hundred eighty-six".