Search a number
-
+
12301020121 = 134161337649
BaseRepresentation
bin10110111010011001…
…01010101111011001
31011202021112120022211
423131030222233121
5200143030120441
65352341315121
7613554642265
oct133514525731
934667476284
1012301020121
115242672535
122473705aa1
13121062ba40
148499b90a5
154bedd1a81
hex2dd32abd9

12301020121 has 16 divisors (see below), whose sum is σ = 13592854800. Its totient is φ = 11059476480.

The previous prime is 12301020113. The next prime is 12301020181. The reversal of 12301020121 is 12102010321.

It can be written as a sum of positive squares in 8 ways, for example, as 3383050896 + 8917969225 = 58164^2 + 94435^2 .

It is not a de Polignac number, because 12301020121 - 23 = 12301020113 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12301020181) 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, 307905 + ... + 345553.

It is an arithmetic number, because the mean of its divisors is an integer number (849553425).

Almost surely, 212301020121 is an apocalyptic number.

It is an amenable number.

12301020121 is a deficient number, since it is larger than the sum of its proper divisors (1291834679).

12301020121 is a wasteful number, since it uses less digits than its factorization.

12301020121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38316.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 12301020121 its reverse (12102010321), we get a palindrome (24403030442).

The spelling of 12301020121 in words is "twelve billion, three hundred one million, twenty thousand, one hundred twenty-one".

Divisors: 1 13 41 533 613 7969 25133 37649 326729 489437 1543609 20066917 23078837 300024881 946232317 12301020121