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121421313 = 32131099521
BaseRepresentation
bin1110011110010…
…11111000000001
322110110211201200
413033023320001
5222040440223
620014251413
73003030666
oct717137001
9273424650
10121421313
11625a26a2
12347b6b69
131c203b40
14121a9a6d
15a9d6a43
hex73cbe01

121421313 has 24 divisors (see below), whose sum is σ = 190630440. Its totient is φ = 74027520.

The previous prime is 121421303. The next prime is 121421317. The reversal of 121421313 is 313124121.

It can be written as a sum of positive squares in 4 ways, for example, as 8573184 + 112848129 = 2928^2 + 10623^2 .

It is not a de Polignac number, because 121421313 - 24 = 121421297 is a prime.

It is not an unprimeable number, because it can be changed into a prime (121421317) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7993 + ... + 17513.

It is an arithmetic number, because the mean of its divisors is an integer number (7942935).

Almost surely, 2121421313 is an apocalyptic number.

121421313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

121421313 is a deficient number, since it is larger than the sum of its proper divisors (69209127).

121421313 is a wasteful number, since it uses less digits than its factorization.

121421313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9649 (or 9646 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 121421313 is about 11019.1339496351. The cubic root of 121421313 is about 495.1821429480.

Adding to 121421313 its reverse (313124121), we get a palindrome (434545434).

The spelling of 121421313 in words is "one hundred twenty-one million, four hundred twenty-one thousand, three hundred thirteen".

Divisors: 1 3 9 13 39 109 117 327 981 1417 4251 9521 12753 28563 85689 123773 371319 1037789 1113957 3113367 9340101 13491257 40473771 121421313