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131330301617 = 2635036171609
BaseRepresentation
bin111101001001111100…
…1010101111010110001
3110112222122010120101002
41322103321111322301
54122431024122432
6140155440051345
712326326100504
oct1722371257261
9415878116332
10131330301617
1150773593459
1221552303b55
13c4cc68bb58
1464dc03713b
153639a3be62
hex1e93e55eb1

131330301617 has 16 divisors (see below), whose sum is σ = 132388058880. Its totient is φ = 130278204672.

The previous prime is 131330301587. The next prime is 131330301629. The reversal of 131330301617 is 716103033131.

It is a cyclic number.

It is not a de Polignac number, because 131330301617 - 210 = 131330300593 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 131330301617.

It is not an unprimeable number, because it can be changed into a prime (131330304617) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81621509 + ... + 81623117.

It is an arithmetic number, because the mean of its divisors is an integer number (8274253680).

Almost surely, 2131330301617 is an apocalyptic number.

It is an amenable number.

131330301617 is a deficient number, since it is larger than the sum of its proper divisors (1057757263).

131330301617 is a wasteful number, since it uses less digits than its factorization.

131330301617 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2992.

The product of its (nonzero) digits is 3402, while the sum is 29.

Adding to 131330301617 its reverse (716103033131), we get a palindrome (847433334748).

The spelling of 131330301617 in words is "one hundred thirty-one billion, three hundred thirty million, three hundred one thousand, six hundred seventeen".

Divisors: 1 263 503 617 1609 132289 162271 310351 423167 809327 992753 81622313 212853001 261094039 499354759 131330301617