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801333898121 is a prime number
BaseRepresentation
bin10111010100100110011…
…10001110101110001001
32211121101100002210012202
423222103032032232021
5101112112434214441
61412043330245545
7111615541514561
oct13522316165611
92747340083182
10801333898121
11289931105139
1210b3791268b5
135a7474229c3
142aadb58bda1
1515ca047b19b
hexba9338eb89

801333898121 has 2 divisors, whose sum is σ = 801333898122. Its totient is φ = 801333898120.

The previous prime is 801333898103. The next prime is 801333898153. The reversal of 801333898121 is 121898333108.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 781456000000 + 19877898121 = 884000^2 + 140989^2 .

It is a cyclic number.

It is not a de Polignac number, because 801333898121 - 234 = 784154028937 is a prime.

It is a super-3 number, since 3×8013338981213 (a number of 37 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (801333898171) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 400666949060 + 400666949061.

It is an arithmetic number, because the mean of its divisors is an integer number (400666949061).

Almost surely, 2801333898121 is an apocalyptic number.

It is an amenable number.

801333898121 is a deficient number, since it is larger than the sum of its proper divisors (1).

801333898121 is an equidigital number, since it uses as much as digits as its factorization.

801333898121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 248832, while the sum is 47.

The spelling of 801333898121 in words is "eight hundred one billion, three hundred thirty-three million, eight hundred ninety-eight thousand, one hundred twenty-one".