Search a number
-
+
30003410112 = 26313193717099
BaseRepresentation
bin11011111100010101…
…111011010011000000
32212102222201011011120
4123330111323103000
5442421333110422
621441113112240
72111340530604
oct337425732300
985388634146
1030003410112
11117a7163105
1259940b8680
132aa1cba310
141648a95504
15ba909e45c
hex6fc57b4c0

30003410112 has 224 divisors, whose sum is σ = 92427552000. Its totient is φ = 8509059072.

The previous prime is 30003410051. The next prime is 30003410141. The reversal of 30003410112 is 21101430003.

It is a junction number, because it is equal to n+sod(n) for n = 30003410091 and 30003410100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1746139 + ... + 1763237.

It is an arithmetic number, because the mean of its divisors is an integer number (412623000).

Almost surely, 230003410112 is an apocalyptic number.

30003410112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30003410112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46213776000).

30003410112 is an abundant number, since it is smaller than the sum of its proper divisors (62424141888).

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

30003410112 is a wasteful number, since it uses less digits than its factorization.

30003410112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17183 (or 17173 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 30003410112 its reverse (21101430003), we get a palindrome (51104840115).

The spelling of 30003410112 in words is "thirty billion, three million, four hundred ten thousand, one hundred twelve".