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21000220031017 is a prime number
BaseRepresentation
bin1001100011001011111101…
…01001111011100000101001
32202100121020102220122221201
410301211332221323200221
510223031422311443032
6112355211244404201
74265134013013523
oct461457651734051
982317212818851
1021000220031017
116767163807547
122431b97246661
13b9440a02b136
145285b79bca13
152663e5ab18e7
hex13197ea7b829

21000220031017 has 2 divisors, whose sum is σ = 21000220031018. Its totient is φ = 21000220031016.

The previous prime is 21000220030981. The next prime is 21000220031041. The reversal of 21000220031017 is 71013002200012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 17342318976921 + 3657901054096 = 4164411^2 + 1912564^2 .

It is a cyclic number.

It is not a de Polignac number, because 21000220031017 - 223 = 21000211642409 is a prime.

It is a super-3 number, since 3×210002200310173 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 21000220030985 and 21000220031003.

It is not a weakly prime, because it can be changed into another prime (21000220031117) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10500110015508 + 10500110015509.

It is an arithmetic number, because the mean of its divisors is an integer number (10500110015509).

Almost surely, 221000220031017 is an apocalyptic number.

It is an amenable number.

21000220031017 is a deficient number, since it is larger than the sum of its proper divisors (1).

21000220031017 is an equidigital number, since it uses as much as digits as its factorization.

21000220031017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 168, while the sum is 19.

Adding to 21000220031017 its reverse (71013002200012), we get a palindrome (92013222231029).

The spelling of 21000220031017 in words is "twenty-one trillion, two hundred twenty million, thirty-one thousand, seventeen".