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131202222423441 = 31367197440957809
BaseRepresentation
bin11101110101001111100101…
…110111000111110110010001
3122012112210212110121012120120
4131311033211313013312101
5114144104122420022231
61143013245140500453
736431022244535241
oct3565174567076621
9565483773535516
10131202222423441
1138894606139a04
121286ba529aa729
135829416422a40
14245831591db21
151027d0e42ed96
hex7753e5dc7d91

131202222423441 has 64 divisors (see below), whose sum is σ = 192222264326400. Its totient is φ = 79111711236096.

The previous prime is 131202222423403. The next prime is 131202222423479. The reversal of 131202222423441 is 144324222202131.

It is an interprime number because it is at equal distance from previous prime (131202222423403) and next prime (131202222423479).

It is not a de Polignac number, because 131202222423441 - 214 = 131202222407057 is a prime.

It is a super-2 number, since 2×1312022224234412 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131202222423641) 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, 2269552345 + ... + 2269610153.

It is an arithmetic number, because the mean of its divisors is an integer number (3003472880100).

Almost surely, 2131202222423441 is an apocalyptic number.

It is an amenable number.

131202222423441 is a deficient number, since it is larger than the sum of its proper divisors (61020041902959).

131202222423441 is a wasteful number, since it uses less digits than its factorization.

131202222423441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62498.

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 131202222423441 its reverse (144324222202131), we get a palindrome (275526444625572).

The spelling of 131202222423441 in words is "one hundred thirty-one trillion, two hundred two billion, two hundred twenty-two million, four hundred twenty-three thousand, four hundred forty-one".

Divisors: 1 3 13 39 67 197 201 591 871 2561 2613 4409 7683 13199 13227 39597 57317 57809 171587 171951 173427 295403 514761 751517 868573 886209 2254551 2605719 3840239 3873203 11291449 11388373 11520717 11619609 33874347 34165119 50351639 58194391 148048849 151054917 174583173 254879881 444146547 756527083 763020991 764639643 2269581249 2289062973 3313438453 9919272883 9940315359 17076952027 29757818649 50211336557 51230856081 150634009671 222000376351 652747375241 666001129053 1958242125723 3364159549319 10092478647957 43734074141147 131202222423441