Search a number
-
+
130110333210 = 23551121334039
BaseRepresentation
bin111100100101100101…
…1100010000100011010
3110102211121112202100000
41321023023202010122
54112431221130320
6135434415553430
712254153404344
oct1711313420432
9412747482300
10130110333210
11501a7989100
122127182b876
13c3669c5760
146423dca294
1535b78a9c90
hex1e4b2e211a

130110333210 has 288 divisors, whose sum is σ = 415282008960. Its totient is φ = 29114743680.

The previous prime is 130110333179. The next prime is 130110333211. The reversal of 130110333210 is 12333011031.

It is a happy number.

130110333210 is a `hidden beast` number, since 1 + 301 + 10 + 33 + 321 + 0 = 666.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (130110333211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3805371 + ... + 3839409.

It is an arithmetic number, because the mean of its divisors is an integer number (1441951420).

Almost surely, 2130110333210 is an apocalyptic number.

130110333210 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 130110333210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207641004480).

130110333210 is an abundant number, since it is smaller than the sum of its proper divisors (285171675750).

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

130110333210 is a wasteful number, since it uses less digits than its factorization.

130110333210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34096 (or 34073 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 130110333210 its reverse (12333011031), we get a palindrome (142443344241).

The spelling of 130110333210 in words is "one hundred thirty billion, one hundred ten million, three hundred thirty-three thousand, two hundred ten".