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10838892821 is a prime number
BaseRepresentation
bin10100001100000110…
…00110000100010101
31000222101021210201212
422012003012010111
5134144224032241
64551311031205
7532412032421
oct120603060425
930871253655
1010838892821
1146622aa669
122125b0b505
131039739c63
1474b733b81
15436868beb
hex2860c6115

10838892821 has 2 divisors, whose sum is σ = 10838892822. Its totient is φ = 10838892820.

The previous prime is 10838892791. The next prime is 10838892839. The reversal of 10838892821 is 12829883801.

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., 10252575025 + 586317796 = 101255^2 + 24214^2 .

It is a cyclic number.

It is not a de Polignac number, because 10838892821 - 210 = 10838891797 is a prime.

It is a super-3 number, since 3×108388928213 (a number of 31 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10838892821.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10838892721) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5419446410 + 5419446411.

It is an arithmetic number, because the mean of its divisors is an integer number (5419446411).

Almost surely, 210838892821 is an apocalyptic number.

It is an amenable number.

10838892821 is a deficient number, since it is larger than the sum of its proper divisors (1).

10838892821 is an equidigital number, since it uses as much as digits as its factorization.

10838892821 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 442368, while the sum is 50.

The spelling of 10838892821 in words is "ten billion, eight hundred thirty-eight million, eight hundred ninety-two thousand, eight hundred twenty-one".