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120021000212213 is a prime number
BaseRepresentation
bin11011010010100010010001…
…000101010100111011110101
3120201221220011212101100101222
4123102202101011110323311
5111212411002023242323
61103132515240200125
734165142162064512
oct3322422105247365
9521856155340358
10120021000212213
11352736907514a1
1211564a5a169045
1351c7c160b7249
14218d09411a309
15dd204d0e59c8
hex6d2891154ef5

120021000212213 has 2 divisors, whose sum is σ = 120021000212214. Its totient is φ = 120021000212212.

The previous prime is 120021000212143. The next prime is 120021000212249. The reversal of 120021000212213 is 312212000120021.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 82006463170564 + 38014537041649 = 9055742^2 + 6165593^2 .

It is a cyclic number.

It is not a de Polignac number, because 120021000212213 - 212 = 120021000208117 is a prime.

It is a super-3 number, since 3×1200210002122133 (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 120021000212191 and 120021000212200.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (120021000112213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60010500106106 + 60010500106107.

It is an arithmetic number, because the mean of its divisors is an integer number (60010500106107).

Almost surely, 2120021000212213 is an apocalyptic number.

It is an amenable number.

120021000212213 is a deficient number, since it is larger than the sum of its proper divisors (1).

120021000212213 is an equidigital number, since it uses as much as digits as its factorization.

120021000212213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 120021000212213 its reverse (312212000120021), we get a palindrome (432233000332234).

The spelling of 120021000212213 in words is "one hundred twenty trillion, twenty-one billion, two hundred twelve thousand, two hundred thirteen".