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10170313340130 = 232517411303124427
BaseRepresentation
bin1001001111111111010111…
…1010011111010011100010
31100000021100121211100210200
42103333311322133103202
52313112300203341010
633344102155010030
72066531563012446
oct223776572372342
940007317740720
1010170313340130
113271229817279
1211830a9439916
1358a096ca1368
1427236264c826
15129847034cc0
hex93ff5e9f4e2

10170313340130 has 192 divisors, whose sum is σ = 28703401429248. Its totient is φ = 2488360734720.

The previous prime is 10170313340123. The next prime is 10170313340149. The reversal of 10170313340130 is 3104331307101.

10170313340130 is a `hidden beast` number, since 1 + 0 + 1 + 7 + 0 + 313 + 340 + 1 + 3 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 10170313340094 and 10170313340103.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 81674977 + ... + 81799403.

It is an arithmetic number, because the mean of its divisors is an integer number (149496882444).

Almost surely, 210170313340130 is an apocalyptic number.

10170313340130 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 10170313340130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14351700714624).

10170313340130 is an abundant number, since it is smaller than the sum of its proper divisors (18533088089118).

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

10170313340130 is a wasteful number, since it uses less digits than its factorization.

10170313340130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125801 (or 125798 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

Adding to 10170313340130 its reverse (3104331307101), we get a palindrome (13274644647231).

The spelling of 10170313340130 in words is "ten trillion, one hundred seventy billion, three hundred thirteen million, three hundred forty thousand, one hundred thirty".