Search a number
-
+
300232011221010 = 23251116333715973457
BaseRepresentation
bin100010001000011110011011…
…0011000010000100000010010
31110101000220022001222210021200
41010100330312120100200102
5303323000124333033020
62542312403141532030
7120145022056351041
oct10420746630204022
91411026261883250
10300232011221010
1187732754335880
122980ab85114016
13cb6a9ac69198b
14541d4420dc558
1524a9acc289590
hex1110f36610812

300232011221010 has 384 divisors, whose sum is σ = 860120731701504. Its totient is φ = 72056332615680.

The previous prime is 300232011220993. The next prime is 300232011221027. The reversal of 300232011221010 is 10122110232003.

300232011221010 is a `hidden beast` number, since 300 + 2 + 32 + 0 + 112 + 210 + 10 = 666.

It is an interprime number because it is at equal distance from previous prime (300232011220993) and next prime (300232011221027).

It is a super-3 number, since 3×3002320112210103 (a number of 44 digits) contains 333 as substring.

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

It is a Curzon number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 86847557202 + ... + 86847560658.

It is an arithmetic number, because the mean of its divisors is an integer number (2239897738806).

Almost surely, 2300232011221010 is an apocalyptic number.

300232011221010 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 300232011221010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430060365850752).

300232011221010 is an abundant number, since it is smaller than the sum of its proper divisors (559888720480494).

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

300232011221010 is a wasteful number, since it uses less digits than its factorization.

300232011221010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5578 (or 5575 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 300232011221010 its reverse (10122110232003), we get a palindrome (310354121453013).

The spelling of 300232011221010 in words is "three hundred trillion, two hundred thirty-two billion, eleven million, two hundred twenty-one thousand, ten".