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13823412541 is a prime number
BaseRepresentation
bin11001101111111000…
…01000100100111101
31022200101012010010021
430313330020210331
5211302243200131
610203403412141
7666362032201
oct146774104475
938611163107
1013823412541
115953a57494
122819524051
1313c3b61363
14951c6ab01
1555d8a0e11
hex337f0893d

13823412541 has 2 divisors, whose sum is σ = 13823412542. Its totient is φ = 13823412540.

The previous prime is 13823412527. The next prime is 13823412557. The reversal of 13823412541 is 14521432831.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 13135452100 + 687960441 = 114610^2 + 26229^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13823412541 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13823412497 and 13823412506.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13823412511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6911706270 + 6911706271.

It is an arithmetic number, because the mean of its divisors is an integer number (6911706271).

Almost surely, 213823412541 is an apocalyptic number.

It is an amenable number.

13823412541 is a deficient number, since it is larger than the sum of its proper divisors (1).

13823412541 is an equidigital number, since it uses as much as digits as its factorization.

13823412541 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 23040, while the sum is 34.

The spelling of 13823412541 in words is "thirteen billion, eight hundred twenty-three million, four hundred twelve thousand, five hundred forty-one".