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131033321301 = 3538928433257
BaseRepresentation
bin111101000001000110…
…0011100111101010101
3110112012221022101222010
41322002030130331111
54121324012240201
6140110150454433
712316061565621
oct1720214347525
9415187271863
10131033321301
1150630991783
122148a964419
13c482caa65c
1464b080c181
15361d927bd6
hex1e8231cf55

131033321301 has 32 divisors (see below), whose sum is σ = 180126218880. Its totient is φ = 84688507904.

The previous prime is 131033321273. The next prime is 131033321357. The reversal of 131033321301 is 103123330131.

It is a cyclic number.

It is not a de Polignac number, because 131033321301 - 213 = 131033313109 is a prime.

It is a super-2 number, since 2×1310333213012 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131033326301) 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 31 ways as a sum of consecutive naturals, for example, 40229665 + ... + 40232921.

It is an arithmetic number, because the mean of its divisors is an integer number (5628944340).

Almost surely, 2131033321301 is an apocalyptic number.

It is an amenable number.

131033321301 is a deficient number, since it is larger than the sum of its proper divisors (49092897579).

131033321301 is a wasteful number, since it uses less digits than its factorization.

131033321301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6245.

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 131033321301 its reverse (103123330131), we get a palindrome (234156651432).

The spelling of 131033321301 in words is "one hundred thirty-one billion, thirty-three million, three hundred twenty-one thousand, three hundred one".

Divisors: 1 3 53 89 159 267 2843 3257 4717 8529 9771 14151 150679 172621 253027 289873 452037 517863 759081 869619 9259651 13410431 15363269 27778953 40231293 46089807 490761503 824108939 1472284509 2472326817 43677773767 131033321301