Search a number
-
+
104312330010 = 23357533892677
BaseRepresentation
bin110000100100101111…
…1111101011100011010
3100222020201001101221000
41201021133331130122
53202112424030020
6115530451125430
710351646114130
oct1411137753432
9328221041830
10104312330010
11402696554a9
1218271ba3876
139ab50581c5
145097a77750
152aa7b07090
hex18497fd71a

104312330010 has 256 divisors, whose sum is σ = 324856396800. Its totient is φ = 23324101632.

The previous prime is 104312329991. The next prime is 104312330029. The reversal of 104312330010 is 10033213401.

104312330010 is a `hidden beast` number, since 1 + 0 + 431 + 233 + 0 + 0 + 1 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (104312329991) and next prime (104312330029).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 38964792 + ... + 38967468.

It is an arithmetic number, because the mean of its divisors is an integer number (1268970300).

Almost surely, 2104312330010 is an apocalyptic number.

104312330010 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 104312330010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162428198400).

104312330010 is an abundant number, since it is smaller than the sum of its proper divisors (220544066790).

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

104312330010 is a wasteful number, since it uses less digits than its factorization.

104312330010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3142 (or 3136 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 104312330010 its reverse (10033213401), we get a palindrome (114345543411).

The spelling of 104312330010 in words is "one hundred four billion, three hundred twelve million, three hundred thirty thousand, ten".