Search a number
-
+
103028315130 = 232513712335323
BaseRepresentation
bin101111111110011110…
…1110101001111111010
3100211221012221200122100
41133330331311033322
53142000222041010
6115155222204230
710305065141406
oct1377475651772
9324835850570
10103028315130
113a76a886084
1217b73b83676
13993c0290a0
144db5318106
152a300232c0
hex17fcf753fa

103028315130 has 192 divisors, whose sum is σ = 293853111552. Its totient is φ = 24891632640.

The previous prime is 103028315123. The next prime is 103028315177. The reversal of 103028315130 is 31513820301.

103028315130 is a `hidden beast` number, since 10 + 302 + 8 + 315 + 1 + 30 = 666.

It is a super-2 number, since 2×1030283151302 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 103028315094 and 103028315103.

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, 19352649 + ... + 19357971.

It is an arithmetic number, because the mean of its divisors is an integer number (1530484956).

Almost surely, 2103028315130 is an apocalyptic number.

103028315130 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 103028315130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146926555776).

103028315130 is an abundant number, since it is smaller than the sum of its proper divisors (190824796422).

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

103028315130 is a wasteful number, since it uses less digits than its factorization.

103028315130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5653 (or 5650 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 103028315130 in words is "one hundred three billion, twenty-eight million, three hundred fifteen thousand, one hundred thirty".