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210202220112021 = 32251257362066167
BaseRepresentation
bin101111110010110110000100…
…101010010010100010010101
31000120021010200010200101001100
4233302312010222102202111
5210022423121322041041
62023021322233220313
762163415653401664
oct5762660452224225
91016233603611040
10210202220112021
1160a82296324595
121b6aa722261699
139039ca468a307
1439c9bada28ddb
151947c972e76b6
hexbf2d84a92895

210202220112021 has 24 divisors (see below), whose sum is σ = 306021221722944. Its totient is φ = 139033407744000.

The previous prime is 210202220111963. The next prime is 210202220112037. The reversal of 210202220112021 is 120211022202012.

It is a happy number.

210202220112021 is a `hidden beast` number, since 210 + 20 + 2 + 220 + 11 + 202 + 1 = 666.

It is not a de Polignac number, because 210202220112021 - 225 = 210202186557589 is a prime.

It is a super-3 number, since 3×2102022201120213 (a number of 44 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 210202220111985 and 210202220112003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210202220110021) 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 in 23 ways as a sum of consecutive naturals, for example, 180452521 + ... + 181613646.

It is an arithmetic number, because the mean of its divisors is an integer number (12750884238456).

Almost surely, 2210202220112021 is an apocalyptic number.

It is an amenable number.

210202220112021 is a deficient number, since it is larger than the sum of its proper divisors (95819001610923).

210202220112021 is a wasteful number, since it uses less digits than its factorization.

210202220112021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362066681 (or 362066678 counting only the distinct ones).

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

Adding to 210202220112021 its reverse (120211022202012), we get a palindrome (330413242314033).

The spelling of 210202220112021 in words is "two hundred ten trillion, two hundred two billion, two hundred twenty million, one hundred twelve thousand, twenty-one".

Divisors: 1 3 9 251 257 753 771 2259 2313 64507 193521 580563 362066167 1086198501 3258595503 90878607917 93051004919 272635823751 279153014757 817907471253 837459044271 23355802234669 70067406704007 210202220112021