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131202212020441 = 1755728697482837
BaseRepresentation
bin11101110101001111100101…
…001111011100000011011001
3122012112210211202000200100021
4131311033211033130003121
5114144104112234123231
61143013244125510441
736431022060236632
oct3565174517340331
9565483752020307
10131202212020441
1138894600283a91
121286ba4b412421
13582941421c913
1424583143b2889
151027d0d577811
hex7753e53dc0d9

131202212020441 has 16 divisors (see below), whose sum is σ = 139174534576656. Its totient is φ = 123258188670976.

The previous prime is 131202212020433. The next prime is 131202212020511. The reversal of 131202212020441 is 144020212202131.

It can be written as a sum of positive squares in 8 ways, for example, as 4859643891600 + 126342568128841 = 2204460^2 + 11240221^2 .

It is not a de Polignac number, because 131202212020441 - 23 = 131202212020433 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131202212000441) 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, 271490475 + ... + 271973311.

It is an arithmetic number, because the mean of its divisors is an integer number (8698408411041).

Almost surely, 2131202212020441 is an apocalyptic number.

It is an amenable number.

131202212020441 is a deficient number, since it is larger than the sum of its proper divisors (7972322556215).

131202212020441 is a wasteful number, since it uses less digits than its factorization.

131202212020441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512108.

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 131202212020441 its reverse (144020212202131), we get a palindrome (275222424222572).

The spelling of 131202212020441 in words is "one hundred thirty-one trillion, two hundred two billion, two hundred twelve million, twenty thousand, four hundred forty-one".

Divisors: 1 17 557 9469 28697 482837 487849 8208229 15984229 268940209 271731893 4571983553 13855973389 235551547613 7717777177673 131202212020441