Search a number
-
+
1120320131121 = 32415492995981
BaseRepresentation
bin10000010011011000010…
…010001001000000110001
310222002202000222101022200
4100103120102021000301
5121323403423143441
62214400140253413
7143640401664222
oct20233022110061
93862660871280
101120320131121
113a2141564294
12161160b41269
13818518ab9b9
143c31c0c3249
151e21e8a57b6
hex104d8489031

1120320131121 has 12 divisors (see below), whose sum is σ = 1618279677300. Its totient is φ = 746861862240.

The previous prime is 1120320131069. The next prime is 1120320131159. The reversal of 1120320131121 is 1211310230211.

1120320131121 is a `hidden beast` number, since 1 + 12 + 0 + 320 + 1 + 311 + 21 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 513379415025 + 606940716096 = 716505^2 + 779064^2 .

It is not a de Polignac number, because 1120320131121 - 29 = 1120320130609 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1120320131094 and 1120320131103.

It is not an unprimeable number, because it can be changed into a prime (1120320130121) 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 11 ways as a sum of consecutive naturals, for example, 1124050 + ... + 1871931.

It is an arithmetic number, because the mean of its divisors is an integer number (134856639775).

Almost surely, 21120320131121 is an apocalyptic number.

It is an amenable number.

1120320131121 is a deficient number, since it is larger than the sum of its proper divisors (497959546179).

1120320131121 is a wasteful number, since it uses less digits than its factorization.

1120320131121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3037536 (or 3037533 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 1120320131121 its reverse (1211310230211), we get a palindrome (2331630361332).

The spelling of 1120320131121 in words is "one trillion, one hundred twenty billion, three hundred twenty million, one hundred thirty-one thousand, one hundred twenty-one".

Divisors: 1 3 9 41549 124647 373941 2995981 8987943 26963829 124480014569 373440043707 1120320131121