Search a number
-
+
12311130401401 = 137364853200033
BaseRepresentation
bin1011001100100110100010…
…0011011110101001111001
31121120221011211211002212111
42303021220203132221321
53103201143340321101
642103353310212321
72410310200542616
oct263115043365171
947527154732774
1012311130401401
113a17137185447
121469b907b40a1
136b3c1c472210
14307c0d05750d
1516539282b251
hexb32688dea79

12311130401401 has 16 divisors (see below), whose sum is σ = 13440033217296. Its totient is φ = 11208218628096.

The previous prime is 12311130401359. The next prime is 12311130401411. The reversal of 12311130401401 is 10410403111321.

It can be written as a sum of positive squares in 8 ways, for example, as 191297765376 + 12119832636025 = 437376^2 + 3481355^2 .

It is a cyclic number.

It is not a de Polignac number, because 12311130401401 - 219 = 12311129877113 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12311130401411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61445481 + ... + 61645513.

It is an arithmetic number, because the mean of its divisors is an integer number (840002076081).

Almost surely, 212311130401401 is an apocalyptic number.

It is an amenable number.

12311130401401 is a deficient number, since it is larger than the sum of its proper divisors (1128902815895).

12311130401401 is a wasteful number, since it uses less digits than its factorization.

12311130401401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264972.

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 12311130401401 its reverse (10410403111321), we get a palindrome (22721533512722).

The spelling of 12311130401401 in words is "twelve trillion, three hundred eleven billion, one hundred thirty million, four hundred one thousand, four hundred one".

Divisors: 1 13 73 949 64853 200033 843089 2600429 4734269 14602409 61545497 189831317 12972740149 168645621937 947010030877 12311130401401