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1012202022321 = 327218231259047
BaseRepresentation
bin11101011101010111111…
…00010010010110110001
310120202200002200101100200
432232223330102112301
5113040442204203241
62052555454105413
7133062211142100
oct16565374222661
93522602611320
101012202022321
113602aa720966
121442084ab269
13745b1244ca9
1436dc2c12037
151b4e2ae04b6
hexebabf125b1

1012202022321 has 36 divisors (see below), whose sum is σ = 1701709132032. Its totient is φ = 578083416624.

The previous prime is 1012202022313. The next prime is 1012202022347. The reversal of 1012202022321 is 1232202022101.

1012202022321 is a `hidden beast` number, since 10 + 1 + 220 + 202 + 232 + 1 = 666.

It is not a de Polignac number, because 1012202022321 - 23 = 1012202022313 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1012202022294 and 1012202022303.

It is not an unprimeable number, because it can be changed into a prime (1012202027321) 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 35 ways as a sum of consecutive naturals, for example, 174420 + ... + 1433466.

It is an arithmetic number, because the mean of its divisors is an integer number (47269698112).

Almost surely, 21012202022321 is an apocalyptic number.

It is an amenable number.

1012202022321 is a deficient number, since it is larger than the sum of its proper divisors (689507109711).

1012202022321 is a wasteful number, since it uses less digits than its factorization.

1012202022321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1260890 (or 1260880 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 1012202022321 its reverse (1232202022101), we get a palindrome (2244404044422).

The spelling of 1012202022321 in words is "one trillion, twelve billion, two hundred two million, twenty-two thousand, three hundred twenty-one".

Divisors: 1 3 7 9 21 49 63 147 441 1823 5469 12761 16407 38283 89327 114849 267981 803943 1259047 3777141 8813329 11331423 26439987 61693303 79319961 185079909 555239727 2295242681 6885728043 16066698767 20657184129 48200096301 112466891369 144600288903 337400674107 1012202022321