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205430522601501 = 3238798535883113
BaseRepresentation
bin101110101101011010000101…
…010100110110000000011101
3222221100222002022222100211200
4232231122011110312000131
5203411233202241222001
62004525251303310113
761161602566646241
oct5655320524660035
9887328068870750
10205430522601501
115a50266049a4aa
121b05998a44b339
138a820273c2c12
1438a2c67174421
1518b3abcb13086
hexbad68553601d

205430522601501 has 12 divisors (see below), whose sum is σ = 296733104009628. Its totient is φ = 136953623156544.

The previous prime is 205430522601463. The next prime is 205430522601503. The reversal of 205430522601501 is 105106225034502.

205430522601501 is a `hidden beast` number, since 2 + 0 + 5 + 43 + 0 + 5 + 2 + 2 + 601 + 5 + 0 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 52142104460601 + 153288418140900 = 7220949^2 + 12380970^2 .

It is not a de Polignac number, because 205430522601501 - 217 = 205430522470429 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205430522601503) 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 11 ways as a sum of consecutive naturals, for example, 31977121 + ... + 37860233.

It is an arithmetic number, because the mean of its divisors is an integer number (24727758667469).

Almost surely, 2205430522601501 is an apocalyptic number.

It is an amenable number.

205430522601501 is a deficient number, since it is larger than the sum of its proper divisors (91302581408127).

205430522601501 is a wasteful number, since it uses less digits than its factorization.

205430522601501 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9762972 (or 9762969 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 205430522601501 in words is "two hundred five trillion, four hundred thirty billion, five hundred twenty-two million, six hundred one thousand, five hundred one".

Divisors: 1 3 9 3879853 5883113 11639559 17649339 34918677 52948017 22825613622389 68476840867167 205430522601501