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131121110133 = 321336631321
BaseRepresentation
bin111101000011101101…
…1010101110001110101
3110112110001111112121100
41322013123111301311
54122014001011013
6140123004240313
712321206022006
oct1720733256165
9415401445540
10131121110133
11506764a2832
12214b4240099
13c498237000
1464bc3411ad
1536264b9473
hex1e876d5c75

131121110133 has 24 divisors (see below), whose sum is σ = 205173102680. Its totient is φ = 80689901760.

The previous prime is 131121110117. The next prime is 131121110179. The reversal of 131121110133 is 331011121131.

131121110133 is a `hidden beast` number, since 1 + 311 + 211 + 10 + 133 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 32761724004 + 98359386129 = 181002^2 + 313623^2 .

It is not a de Polignac number, because 131121110133 - 24 = 131121110117 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131121110033) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3295888 + ... + 3335433.

Almost surely, 2131121110133 is an apocalyptic number.

131121110133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

131121110133 is a deficient number, since it is larger than the sum of its proper divisors (74051992547).

131121110133 is an equidigital number, since it uses as much as digits as its factorization.

131121110133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6631366 (or 6631337 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 131121110133 its reverse (331011121131), we get a palindrome (462132231264).

The spelling of 131121110133 in words is "one hundred thirty-one billion, one hundred twenty-one million, one hundred ten thousand, one hundred thirty-three".

Divisors: 1 3 9 13 39 117 169 507 1521 2197 6591 19773 6631321 19893963 59681889 86207173 258621519 775864557 1120693249 3362079747 10086239241 14569012237 43707036711 131121110133