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103342111240 = 23517264313903
BaseRepresentation
bin110000000111110101…
…0110111101000001000
3100212202002102011222111
41200033222313220020
53143121040024430
6115250312032104
710315625311024
oct1401752675010
9325662364874
10103342111240
113a910a22805
1218041092634
13998c047564
145004c7d384
152a4c859c2a
hex180fab7a08

103342111240 has 96 divisors (see below), whose sum is σ = 247403882880. Its totient is φ = 38841965568.

The previous prime is 103342111237. The next prime is 103342111261. The reversal of 103342111240 is 42111243301.

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 23 ways as a sum of consecutive naturals, for example, 7426129 + ... + 7440031.

It is an arithmetic number, because the mean of its divisors is an integer number (2577123780).

Almost surely, 2103342111240 is an apocalyptic number.

103342111240 is a gapful number since it is divisible by the number (10) 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 103342111240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123701941440).

103342111240 is an abundant number, since it is smaller than the sum of its proper divisors (144061771640).

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

103342111240 is a wasteful number, since it uses less digits than its factorization.

103342111240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14591 (or 14570 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 103342111240 its reverse (42111243301), we get a palindrome (145453354541).

The spelling of 103342111240 in words is "one hundred three billion, three hundred forty-two million, one hundred eleven thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 289 340 578 643 680 1156 1286 1445 2312 2572 2890 3215 5144 5780 6430 10931 11560 12860 13903 21862 25720 27806 43724 54655 55612 69515 87448 109310 111224 139030 185827 218620 236351 278060 371654 437240 472702 556120 743308 929135 945404 1181755 1486616 1858270 1890808 2363510 3716540 4017967 4727020 7433080 8035934 8939629 9454040 16071868 17879258 20089835 32143736 35758516 40179670 44698145 71517032 80359340 89396290 151973693 160718680 178792580 303947386 357585160 607894772 759868465 1215789544 1519736930 2583552781 3039473860 5167105562 6078947720 10334211124 12917763905 20668422248 25835527810 51671055620 103342111240