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131132021233 = 8912131214669
BaseRepresentation
bin111101000100000010…
…0111101100111110001
3110112110211000212211011
41322020010331213301
54122024244134413
6140124034150521
712321400534543
oct1721004754761
9415424025734
10131132021233
1150681675474
12214b7a22441
13c49a587495
1464bd981693
15362742233d
hex1e8813d9f1

131132021233 has 8 divisors (see below), whose sum is σ = 132714844200. Its totient is φ = 129551630208.

The previous prime is 131132021173. The next prime is 131132021243. The reversal of 131132021233 is 332120231131.

It can be written as a sum of positive squares in 4 ways, for example, as 4205133409 + 126926887824 = 64847^2 + 356268^2 .

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 131132021233 - 213 = 131132013041 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131132021243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 499378 + ... + 715291.

It is an arithmetic number, because the mean of its divisors is an integer number (16589355525).

Almost surely, 2131132021233 is an apocalyptic number.

It is an amenable number.

131132021233 is a deficient number, since it is larger than the sum of its proper divisors (1582822967).

131132021233 is a wasteful number, since it uses less digits than its factorization.

131132021233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1215971.

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 131132021233 its reverse (332120231131), we get a palindrome (463252252364).

The spelling of 131132021233 in words is "one hundred thirty-one billion, one hundred thirty-two million, twenty-one thousand, two hundred thirty-three".

Divisors: 1 89 1213 107957 1214669 108105541 1473393497 131132021233