Search a number
-
+
13620135121 = 157160953917
BaseRepresentation
bin11001010111101001…
…01100010011010001
31022011012200112220221
430223310230103101
5210343223310441
610131302433041
7661343144515
oct145364542321
938135615827
1013620135121
11585a23611a
122781432781
1313909ca368
14932c74145
1554aaea8d1
hex32bd2c4d1

13620135121 has 8 divisors (see below), whose sum is σ = 13715660840. Its totient is φ = 13524720768.

The previous prime is 13620135103. The next prime is 13620135131. The reversal of 13620135121 is 12153102631.

It is a happy number.

13620135121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1643897025 + 11976238096 = 40545^2 + 109436^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 13620135121 - 27 = 13620134993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13620135131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 225655 + ... + 279571.

It is an arithmetic number, because the mean of its divisors is an integer number (1714457605).

Almost surely, 213620135121 is an apocalyptic number.

It is an amenable number.

13620135121 is a deficient number, since it is larger than the sum of its proper divisors (95525719).

13620135121 is a wasteful number, since it uses less digits than its factorization.

13620135121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55683.

The product of its (nonzero) digits is 1080, while the sum is 25.

Adding to 13620135121 its reverse (12153102631), we get a palindrome (25773237752).

The spelling of 13620135121 in words is "thirteen billion, six hundred twenty million, one hundred thirty-five thousand, one hundred twenty-one".

Divisors: 1 157 1609 53917 252613 8464969 86752453 13620135121