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131344320001 = 5325744321767
BaseRepresentation
bin111101001010010111…
…0110100011000000001
3110120000121111202222111
41322110232310120001
54122443121220001
6140201100335321
712326556204436
oct1722456643001
9416017452874
10131344320001
11507804986a4
1221556b44541
13c50255975b
1464ddc45b8d
15363adaa851
hex1e94bb4601

131344320001 has 16 divisors (see below), whose sum is σ = 134652668544. Its totient is φ = 128069054464.

The previous prime is 131344319999. The next prime is 131344320013. The reversal of 131344320001 is 100023443131.

It is a cyclic number.

It is not a de Polignac number, because 131344320001 - 21 = 131344319999 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131344320301) 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, 6023220 + ... + 6044986.

It is an arithmetic number, because the mean of its divisors is an integer number (8415791784).

Almost surely, 2131344320001 is an apocalyptic number.

It is an amenable number.

131344320001 is a deficient number, since it is larger than the sum of its proper divisors (3308348543).

131344320001 is a wasteful number, since it uses less digits than its factorization.

131344320001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22520.

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 131344320001 its reverse (100023443131), we get a palindrome (231367763132).

The spelling of 131344320001 in words is "one hundred thirty-one billion, three hundred forty-four million, three hundred twenty thousand, one".

Divisors: 1 53 257 443 13621 21767 23479 113851 1153651 5594119 6034103 9642781 296488307 511067393 2478194717 131344320001