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103033301112 = 233272347281673
BaseRepresentation
bin101111111110101000…
…0110110100001111000
3100211221120100000010100
41133331100312201320
53142003011113422
6115155521115400
710305155415660
oct1377520664170
9324846300110
10103033301112
113a772681125
1217b75788b60
139940083681
144db5c551a0
152a306aa7ac
hex17fd436878

103033301112 has 384 divisors, whose sum is σ = 341575004160. Its totient is φ = 27420180480.

The previous prime is 103033301069. The next prime is 103033301113. The reversal of 103033301112 is 211103330301.

It is a happy number.

103033301112 is a `hidden beast` number, since 10 + 303 + 330 + 11 + 12 = 666.

It is a super-2 number, since 2×1030333011122 (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103033301113) 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, 153095208 + ... + 153095880.

It is an arithmetic number, because the mean of its divisors is an integer number (889518240).

Almost surely, 2103033301112 is an apocalyptic number.

103033301112 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 103033301112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170787502080).

103033301112 is an abundant number, since it is smaller than the sum of its proper divisors (238541703048).

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

103033301112 is a wasteful number, since it uses less digits than its factorization.

103033301112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1043 (or 1036 counting only the distinct ones).

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

Adding to 103033301112 its reverse (211103330301), we get a palindrome (314136631413).

The spelling of 103033301112 in words is "one hundred three billion, thirty-three million, three hundred one thousand, one hundred twelve".