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103333340112 = 243193137173571
BaseRepresentation
bin110000000111100100…
…1011010001111010000
3100212201110220120020220
41200033021122033100
53143111313340422
6115245400033040
710315460620152
oct1401711321720
9325643816226
10103333340112
113a906a81942
121803a162780
13998a296142
145003a38ad2
152a4bbc5e5c
hex180f25a3d0

103333340112 has 320 divisors, whose sum is σ = 300144599040. Its totient is φ = 30494361600.

The previous prime is 103333340063. The next prime is 103333340179. The reversal of 103333340112 is 211043333301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 180968787 + ... + 180969357.

It is an arithmetic number, because the mean of its divisors is an integer number (937951872).

Almost surely, 2103333340112 is an apocalyptic number.

103333340112 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 103333340112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150072299520).

103333340112 is an abundant number, since it is smaller than the sum of its proper divisors (196811258928).

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

103333340112 is a wasteful number, since it uses less digits than its factorization.

103333340112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 842 (or 836 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 103333340112 its reverse (211043333301), we get a palindrome (314376673413).

The spelling of 103333340112 in words is "one hundred three billion, three hundred thirty-three million, three hundred forty thousand, one hundred twelve".