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131033302001 = 71923151128349
BaseRepresentation
bin111101000001000110…
…0011000001111110001
3110112012221021102111022
41322002030120033301
54121324011131001
6140110150225225
712316061455430
oct1720214301761
9415187242438
10131033302001
1150630979228
122148a955215
13c482ca1934
1464b0805117
15361d92211b
hex1e823183f1

131033302001 has 32 divisors (see below), whose sum is σ = 164602368000. Its totient is φ = 101705820480.

The previous prime is 131033301989. The next prime is 131033302007. The reversal of 131033302001 is 100203330131.

It is a de Polignac number, because none of the positive numbers 2k-131033302001 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131033302007) 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 31 ways as a sum of consecutive naturals, for example, 4607975 + ... + 4636323.

It is an arithmetic number, because the mean of its divisors is an integer number (5143824000).

Almost surely, 2131033302001 is an apocalyptic number.

It is an amenable number.

131033302001 is a deficient number, since it is larger than the sum of its proper divisors (33569065999).

131033302001 is a wasteful number, since it uses less digits than its factorization.

131033302001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29909.

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 131033302001 its reverse (100203330131), we get a palindrome (231236632132).

The spelling of 131033302001 in words is "one hundred thirty-one billion, thirty-three million, three hundred two thousand, one".

Divisors: 1 7 19 23 133 161 437 1511 3059 10577 28349 28709 34753 198443 200963 243271 538631 652027 660307 3770417 4564189 4622149 12388513 42835339 86719591 299847373 813871441 985212797 5697100087 6896489579 18719043143 131033302001