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20205601441 is a prime number
BaseRepresentation
bin10010110100010110…
…010000001010100001
31221011011101220101221
4102310112100022201
5312340113221231
613140552055041
71313466531004
oct226426201241
957134356357
1020205601441
118629598473
123aba994481
131ba01736ac
14d9972553b
157d3d2ed11
hex4b45902a1

20205601441 has 2 divisors, whose sum is σ = 20205601442. Its totient is φ = 20205601440.

The previous prime is 20205601397. The next prime is 20205601459. The reversal of 20205601441 is 14410650202.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19348810000 + 856791441 = 139100^2 + 29271^2 .

It is a cyclic number.

It is not a de Polignac number, because 20205601441 - 215 = 20205568673 is a prime.

It is not a weakly prime, because it can be changed into another prime (20205001441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10102800720 + 10102800721.

It is an arithmetic number, because the mean of its divisors is an integer number (10102800721).

Almost surely, 220205601441 is an apocalyptic number.

It is an amenable number.

20205601441 is a deficient number, since it is larger than the sum of its proper divisors (1).

20205601441 is an equidigital number, since it uses as much as digits as its factorization.

20205601441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1920, while the sum is 25.

The spelling of 20205601441 in words is "twenty billion, two hundred five million, six hundred one thousand, four hundred forty-one".