Search a number
-
+
131132221121 = 11591381146309
BaseRepresentation
bin111101000100000010…
…1101110011011000001
3110112110211102001000102
41322020011232123001
54122024322033441
6140124042332145
712321402326366
oct1721005563301
9415424361012
10131132221121
11506817a1670
12214b7aba055
13c49a627465
1464bd9d446d
15362746169b
hex1e8816e6c1

131132221121 has 16 divisors (see below), whose sum is σ = 145584302400. Its totient is φ = 117104923200.

The previous prime is 131132221049. The next prime is 131132221159. The reversal of 131132221121 is 121122231131.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-131132221121 is a prime.

It is a super-2 number, since 2×1311322211212 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131132221093 and 131132221102.

It is not an unprimeable number, because it can be changed into a prime (131132221621) 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 15 ways as a sum of consecutive naturals, for example, 823115 + ... + 969423.

It is an arithmetic number, because the mean of its divisors is an integer number (9099018900).

Almost surely, 2131132221121 is an apocalyptic number.

131132221121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

131132221121 is a deficient number, since it is larger than the sum of its proper divisors (14452081279).

131132221121 is a wasteful number, since it uses less digits than its factorization.

131132221121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147760.

The product of its digits is 144, while the sum is 20.

Adding to 131132221121 its reverse (121122231131), we get a palindrome (252254452252).

It can be divided in two parts, 131132 and 221121, that added together give a palindrome (352253).

The spelling of 131132221121 in words is "one hundred thirty-one billion, one hundred thirty-two million, two hundred twenty-one thousand, one hundred twenty-one".

Divisors: 1 11 59 649 1381 15191 81479 146309 896269 1609399 8632231 94954541 202052729 2222580019 11921111011 131132221121