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20819831141 is a prime number
BaseRepresentation
bin10011011000111101…
…010110100101100101
31222201222012000011002
4103120331112211211
5320114334044031
613321533123045
71334635434104
oct233075264545
958658160132
1020819831141
11891428531a
124050629485
131c6a4b2115
14101713403b
1581cc0dccb
hex4d8f56965

20819831141 has 2 divisors, whose sum is σ = 20819831142. Its totient is φ = 20819831140.

The previous prime is 20819831113. The next prime is 20819831257. The reversal of 20819831141 is 14113891802.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 19417029025 + 1402802116 = 139345^2 + 37454^2 .

It is a cyclic number.

It is not a de Polignac number, because 20819831141 - 210 = 20819830117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20819831095 and 20819831104.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20819831111) 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, 10409915570 + 10409915571.

It is an arithmetic number, because the mean of its divisors is an integer number (10409915571).

Almost surely, 220819831141 is an apocalyptic number.

It is an amenable number.

20819831141 is a deficient number, since it is larger than the sum of its proper divisors (1).

20819831141 is an equidigital number, since it uses as much as digits as its factorization.

20819831141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13824, while the sum is 38.

The spelling of 20819831141 in words is "twenty billion, eight hundred nineteen million, eight hundred thirty-one thousand, one hundred forty-one".