Search a number
-
+
103424444112 = 24311217807239
BaseRepresentation
bin110000001010010010…
…0111100011011010000
3100212221211100010110010
41200110210330123100
53143303124202422
6115302412434520
710320645161403
oct1402444743320
9325854303403
10103424444112
113a953447700
1218064778a40
1399a3113732
145011b91d3a
152a54bbeb0c
hex181493c6d0

103424444112 has 60 divisors (see below), whose sum is σ = 293677002080. Its totient is φ = 31340738880.

The previous prime is 103424444087. The next prime is 103424444117. The reversal of 103424444112 is 211444424301.

It is a happy number.

It is a super-2 number, since 2×1034244441122 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 103424444112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103424444117) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8897812 + ... + 8909427.

Almost surely, 2103424444112 is an apocalyptic number.

103424444112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

103424444112 is an abundant number, since it is smaller than the sum of its proper divisors (190252557968).

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

103424444112 is a wasteful number, since it uses less digits than its factorization.

103424444112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17807272 (or 17807255 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 103424444112 its reverse (211444424301), we get a palindrome (314868868413).

The spelling of 103424444112 in words is "one hundred three billion, four hundred twenty-four million, four hundred forty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 121 132 176 242 264 363 484 528 726 968 1452 1936 2904 5808 17807239 35614478 53421717 71228956 106843434 142457912 195879629 213686868 284915824 391759258 427373736 587638887 783518516 854747472 1175277774 1567037032 2154675919 2350555548 3134074064 4309351838 4701111096 6464027757 8618703676 9402222192 12928055514 17237407352 25856111028 34474814704 51712222056 103424444112