Search a number
-
+
13032121122 = 232724006729
BaseRepresentation
bin11000010001100011…
…00110001100100010
31020122020020100100200
430020301212030202
5203142210333442
65553055330030
7640643126136
oct141061461442
936566210320
1013032121122
115588324539
122638520916
1312c8c3a297
148b8b2b3c6
1551419934c
hex308c66322

13032121122 has 12 divisors (see below), whose sum is σ = 28236262470. Its totient is φ = 4344040368.

The previous prime is 13032121121. The next prime is 13032121127. The reversal of 13032121122 is 22112123031.

13032121122 is a `hidden beast` number, since 130 + 321 + 211 + 2 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 12399045201 + 633075921 = 111351^2 + 25161^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 724006729 = 13032121122 / (1 + 3 + 0 + 3 + 2 + 1 + 2 + 1 + 1 + 2 + 2).

It is a junction number, because it is equal to n+sod(n) for n = 13032121095 and 13032121104.

It is not an unprimeable number, because it can be changed into a prime (13032121121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 362003347 + ... + 362003382.

Almost surely, 213032121122 is an apocalyptic number.

13032121122 is an abundant number, since it is smaller than the sum of its proper divisors (15204141348).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13032121122 is a wasteful number, since it uses less digits than its factorization.

13032121122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724006737 (or 724006734 counting only the distinct ones).

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

Adding to 13032121122 its reverse (22112123031), we get a palindrome (35144244153).

The spelling of 13032121122 in words is "thirteen billion, thirty-two million, one hundred twenty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 724006729 1448013458 2172020187 4344040374 6516060561 13032121122