Search a number
-
+
103333440012 = 223112377997251
BaseRepresentation
bin110000000111100100…
…1110010101000001100
3100212201111002122021220
41200033021302220030
53143111330040022
6115245402123340
710315461514335
oct1401711625014
9325644078256
10103333440012
113a90703aa00
121803a1b0550
13998a2cc75a
145003a6328c
152a4bbe585c
hex180f272a0c

103333440012 has 288 divisors, whose sum is σ = 279582428160. Its totient is φ = 29652480000.

The previous prime is 103333440011. The next prime is 103333440013. The reversal of 103333440012 is 210044333301.

It is an interprime number because it is at equal distance from previous prime (103333440011) and next prime (103333440013).

It is not an unprimeable number, because it can be changed into a prime (103333440011) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 411686887 + ... + 411687137.

It is an arithmetic number, because the mean of its divisors is an integer number (970772320).

Almost surely, 2103333440012 is an apocalyptic number.

103333440012 is a gapful number since it is divisible by the number (12) 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 103333440012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139791214080).

103333440012 is an abundant number, since it is smaller than the sum of its proper divisors (176248988148).

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

103333440012 is a wasteful number, since it uses less digits than its factorization.

103333440012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 103333440012 its reverse (210044333301), we get a palindrome (313377773313).

It can be divided in two parts, 103333 and 440012, that added together give a palindrome (543345).

The spelling of 103333440012 in words is "one hundred three billion, three hundred thirty-three million, four hundred forty thousand, twelve".