Search a number
-
+
12300231220321 = 1129281137219639
BaseRepresentation
bin1011001011111101111011…
…1010011001110001100001
31121112220001021002100012011
42302333132322121301201
53103011333143022241
642054352003032521
72406443124202522
oct262773672316141
947486037070164
1012300231220321
113a12553948380
121467a4a66b741
136b2ba33b7045
1430749770c849
15164e55a54281
hexb2fdee99c61

12300231220321 has 16 divisors (see below), whose sum is σ = 13930537852800. Its totient is φ = 10758019619200.

The previous prime is 12300231220313. The next prime is 12300231220357. The reversal of 12300231220321 is 12302213200321.

It is a cyclic number.

It is not a de Polignac number, because 12300231220321 - 23 = 12300231220313 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12300231220292 and 12300231220301.

It is not an unprimeable number, because it can be changed into a prime (12300231220301) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68520181 + ... + 68699458.

It is an arithmetic number, because the mean of its divisors is an integer number (870658615800).

Almost surely, 212300231220321 is an apocalyptic number.

12300231220321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12300231220321 is a deficient number, since it is larger than the sum of its proper divisors (1630306632479).

12300231220321 is a wasteful number, since it uses less digits than its factorization.

12300231220321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137219960.

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 12300231220321 its reverse (12302213200321), we get a palindrome (24602444420642).

The spelling of 12300231220321 in words is "twelve trillion, three hundred billion, two hundred thirty-one million, two hundred twenty thousand, three hundred twenty-one".

Divisors: 1 11 29 281 319 3091 8149 89639 137219639 1509416029 3979369531 38558718559 43773064841 424145904149 1118202838211 12300231220321