Search a number
-
+
220212022101021 = 3224468002455669
BaseRepresentation
bin110010000100100000011011…
…010110100100010000011101
31001212201001201110002020222100
4302010200123112210100131
5212330423210124213041
62100204001213035313
764245536123426556
oct6204403326442035
91055631643066870
10220212022101021
1164191437618a65
1220846694785b39
1395b4b9b494112
143c5446689532d
151a6d347a336b6
hexc8481b5a441d

220212022101021 has 6 divisors (see below), whose sum is σ = 318084031923710. Its totient is φ = 146808014734008.

The previous prime is 220212022100969. The next prime is 220212022101077. The reversal of 220212022101021 is 120101220212022.

It is a happy number.

220212022101021 is a `hidden beast` number, since 220 + 2 + 1 + 202 + 210 + 10 + 21 = 666.

It can be written as a sum of positive squares in only one way, i.e., 140119635281796 + 80092386819225 = 11837214^2 + 8949435^2 .

It is not a de Polignac number, because 220212022101021 - 26 = 220212022100957 is a prime.

It is a super-2 number, since 2×2202120221010212 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 220212022100985 and 220212022101003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220212022101091) 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 in 5 ways as a sum of consecutive naturals, for example, 12234001227826 + ... + 12234001227843.

Almost surely, 2220212022101021 is an apocalyptic number.

It is an amenable number.

220212022101021 is a deficient number, since it is larger than the sum of its proper divisors (97872009822689).

220212022101021 is a wasteful number, since it uses less digits than its factorization.

220212022101021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24468002455675 (or 24468002455672 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 220212022101021 its reverse (120101220212022), we get a palindrome (340313242313043).

The spelling of 220212022101021 in words is "two hundred twenty trillion, two hundred twelve billion, twenty-two million, one hundred one thousand, twenty-one".

Divisors: 1 3 9 24468002455669 73404007367007 220212022101021