Search a number
-
+
12348321129 = 34123472
BaseRepresentation
bin10111000000000010…
…00110110101101001
31011212120112201010000
423200001012311221
5200242132234004
65401151213213
7615000666144
oct134001066551
934776481100
1012348321129
11526733a481
122487517209
13121a3807c1
14851dad05b
154c4126c39
hex2e0046d69

12348321129 has 15 divisors (see below), whose sum is σ = 18447751597. Its totient is φ = 8231547348.

The previous prime is 12348321119. The next prime is 12348321143. The reversal of 12348321129 is 92112384321.

The square root of 12348321129 is 111123.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 12348321129 - 213 = 12348312937 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12348321093 and 12348321102.

It is not an unprimeable number, because it can be changed into a prime (12348321119) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 993934 + ... + 1006280.

Almost surely, 212348321129 is an apocalyptic number.

12348321129 is the 111123-rd square number.

12348321129 is the 55562-nd centered octagonal number.

It is an amenable number.

12348321129 is a deficient number, since it is larger than the sum of its proper divisors (6099430468).

12348321129 is an frugal number, since it uses more digits than its factorization.

12348321129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24706 (or 12350 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

Multiplying 12348321129 by its sum of digits (36), we get a square (444539560644 = 6667382).

Multiplying 12348321129 by its product of digits (20736), we get a square (256054786930944 = 160017122).

The spelling of 12348321129 in words is "twelve billion, three hundred forty-eight million, three hundred twenty-one thousand, one hundred twenty-nine".

Divisors: 1 3 9 27 81 12347 37041 111123 333369 1000107 152448409 457345227 1372035681 4116107043 12348321129