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131020443413223 = 37133176612290423
BaseRepresentation
bin11101110010100110010010…
…111111001110101011100111
3122011220102122222022201002120
4131302212102333032223213
5114133114332003210343
61142353543305441023
736411625504461360
oct3562462277165347
9564812588281076
10131020443413223
113882450467a051
12128407814a0173
13581523705a230
14244d5cd752b67
151023220967683
hex772992fceae7

131020443413223 has 64 divisors (see below), whose sum is σ = 216012562655232. Its totient is φ = 68787419374080.

The previous prime is 131020443413219. The next prime is 131020443413227. The reversal of 131020443413223 is 322314344020131.

It is an interprime number because it is at equal distance from previous prime (131020443413219) and next prime (131020443413227).

It is not a de Polignac number, because 131020443413223 - 22 = 131020443413219 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131020443413227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 56058390 + ... + 58348812.

It is an arithmetic number, because the mean of its divisors is an integer number (3375196291488).

Almost surely, 2131020443413223 is an apocalyptic number.

131020443413223 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

131020443413223 is a deficient number, since it is larger than the sum of its proper divisors (84992119242009).

131020443413223 is a wasteful number, since it uses less digits than its factorization.

131020443413223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2291424.

The product of its (nonzero) digits is 41472, while the sum is 33.

Adding to 131020443413223 its reverse (322314344020131), we get a palindrome (453334787433354).

The spelling of 131020443413223 in words is "one hundred thirty-one trillion, twenty billion, four hundred forty-three million, four hundred thirteen thousand, two hundred twenty-three".

Divisors: 1 3 7 13 21 39 91 273 317 661 951 1983 2219 4121 4627 6657 8593 12363 13881 25779 28847 60151 86541 180453 209537 628611 1466759 2290423 2723981 4400277 6871269 8171943 16032961 19067867 29775499 48098883 57203601 89326497 208428493 625285479 726064091 1513969603 2178192273 4541908809 5082448637 9438833183 10597787221 15247345911 19681604839 28316499549 31793361663 59044814517 66071832281 137771233873 198215496843 413313701619 479928364151 1439785092453 3359498549057 6239068733963 10078495647171 18717206201889 43673481137741 131020443413223