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1000020220221 = 31145766309941
BaseRepresentation
bin11101000110101011101…
…10011001100100111101
310112121020010110201102010
432203111312121210331
5112341020134021341
62043223011521433
7132151301423061
oct16432566314475
93477203421363
101000020220221
11356119386720
121419888b9279
13733bc528279
1436588dcbaa1
151b02d40c716
hexe8d5d9993d

1000020220221 has 16 divisors (see below), whose sum is σ = 1457757764928. Its totient is φ = 604746652800.

The previous prime is 1000020220189. The next prime is 1000020220223. The reversal of 1000020220221 is 1220220200001.

It is not a de Polignac number, because 1000020220221 - 25 = 1000020220189 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1000020220197 and 1000020220206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000020220223) 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 15 ways as a sum of consecutive naturals, for example, 33139890 + ... + 33170051.

It is an arithmetic number, because the mean of its divisors is an integer number (91109860308).

Almost surely, 21000020220221 is an apocalyptic number.

1000020220221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1000020220221 is a deficient number, since it is larger than the sum of its proper divisors (457737544707).

1000020220221 is a wasteful number, since it uses less digits than its factorization.

1000020220221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66310412.

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 1000020220221 its reverse (1220220200001), we get a palindrome (2220240420222).

The spelling of 1000020220221 in words is "one trillion, twenty million, two hundred twenty thousand, two hundred twenty-one".

Divisors: 1 3 11 33 457 1371 5027 15081 66309941 198929823 729409351 2188228053 30303643037 90910929111 333340073407 1000020220221