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202211002102221 = 3275360560348039
BaseRepresentation
bin101101111110100011101010…
…111100110011000111001101
3222111222011221102011021222100
4231332203222330303013031
5203001011113014232341
61554022241341505313
760410156065146420
oct5576435274630715
9874864842137870
10202211002102221
11594812280695a2
121a819a1b572239
1388aa553324878
1437d10c98519b7
151859e8b3483b6
hexb7e8eaf331cd

202211002102221 has 24 divisors (see below), whose sum is σ = 340106914592640. Its totient is φ = 113368971527136.

The previous prime is 202211002102183. The next prime is 202211002102253. The reversal of 202211002102221 is 122201200112202.

It is a happy number.

202211002102221 is a `hidden beast` number, since 2 + 0 + 221 + 10 + 0 + 210 + 2 + 221 = 666.

It is not a de Polignac number, because 202211002102221 - 226 = 202210934993357 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 202211002102194 and 202211002102203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202211002102321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30280170681 + ... + 30280177358.

It is an arithmetic number, because the mean of its divisors is an integer number (14171121441360).

Almost surely, 2202211002102221 is an apocalyptic number.

202211002102221 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

202211002102221 is a deficient number, since it is larger than the sum of its proper divisors (137895912490419).

202211002102221 is a wasteful number, since it uses less digits than its factorization.

202211002102221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60560348105 (or 60560348102 counting only the distinct ones).

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

Adding to 202211002102221 its reverse (122201200112202), we get a palindrome (324412202214423).

The spelling of 202211002102221 in words is "two hundred two trillion, two hundred eleven billion, two million, one hundred two thousand, two hundred twenty-one".

Divisors: 1 3 7 9 21 53 63 159 371 477 1113 3339 60560348039 181681044117 423922436273 545043132351 1271767308819 3209698446067 3815301926457 9629095338201 22467889122469 28887286014603 67403667367407 202211002102221