Search a number
-
+
121316416 = 2613433391
BaseRepresentation
bin1110011101100…
…10010001000000
322110021111211121
413032302101000
5222024111131
620012122024
73002113114
oct716622100
9273244747
10121316416
1162530901
1234766314
131c198180
141217d744
15a9b5911
hex73b2440

121316416 has 56 divisors (see below), whose sum is σ = 265362944. Its totient is φ = 54673920.

The previous prime is 121316407. The next prime is 121316441. The reversal of 121316416 is 614613121.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34081 + ... + 37471.

It is an arithmetic number, because the mean of its divisors is an integer number (4738624).

Almost surely, 2121316416 is an apocalyptic number.

121316416 is a gapful number since it is divisible by the number (16) 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 121316416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132681472).

121316416 is an abundant number, since it is smaller than the sum of its proper divisors (144046528).

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

121316416 is a wasteful number, since it uses less digits than its factorization.

121316416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3459 (or 3449 counting only the distinct ones).

The product of its digits is 864, while the sum is 25.

The square root of 121316416 is about 11014.3731551096. The cubic root of 121316416 is about 495.0395043804.

Adding to 121316416 its reverse (614613121), we get a palindrome (735929537).

The spelling of 121316416 in words is "one hundred twenty-one million, three hundred sixteen thousand, four hundred sixteen".

Divisors: 1 2 4 8 13 16 26 32 43 52 64 86 104 172 208 344 416 559 688 832 1118 1376 2236 2752 3391 4472 6782 8944 13564 17888 27128 35776 44083 54256 88166 108512 145813 176332 217024 291626 352664 583252 705328 1166504 1410656 1895569 2333008 2821312 3791138 4666016 7582276 9332032 15164552 30329104 60658208 121316416