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102424440312441 = 32134718626012059
BaseRepresentation
bin10111010010011110001100…
…011000011001001001111001
3111102122200101100111021001200
4113102132030120121021321
5101411110223204444231
61001501045512404413
730400631053602462
oct2722361430311171
9442580340437050
10102424440312441
112a6a9a633a1885
12b5a26619a6709
13451c7775cc090
141b41525759d69
15bc9464b5ebe6
hex5d278c619279

102424440312441 has 24 divisors (see below), whose sum is σ = 162716841356160. Its totient is φ = 61689351936096.

The previous prime is 102424440312421. The next prime is 102424440312449. The reversal of 102424440312441 is 144213044424201.

102424440312441 is a `hidden beast` number, since 1 + 0 + 2 + 4 + 2 + 4 + 4 + 403 + 1 + 244 + 1 = 666.

It is not a de Polignac number, because 102424440312441 - 211 = 102424440310393 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102424440312396 and 102424440312405.

It is not an unprimeable number, because it can be changed into a prime (102424440312449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9313000531 + ... + 9313011528.

It is an arithmetic number, because the mean of its divisors is an integer number (6779868389840).

Almost surely, 2102424440312441 is an apocalyptic number.

It is an amenable number.

102424440312441 is a deficient number, since it is larger than the sum of its proper divisors (60292401043719).

102424440312441 is a wasteful number, since it uses less digits than its factorization.

102424440312441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18626012125 (or 18626012122 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

Adding to 102424440312441 its reverse (144213044424201), we get a palindrome (246637484736642).

The spelling of 102424440312441 in words is "one hundred two trillion, four hundred twenty-four billion, four hundred forty million, three hundred twelve thousand, four hundred forty-one".

Divisors: 1 3 9 13 39 47 117 141 423 611 1833 5499 18626012059 55878036177 167634108531 242138156767 726414470301 875422566773 2179243410903 2626267700319 7878803100957 11380493368049 34141480104147 102424440312441