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1022001201221 = 711131020980221
BaseRepresentation
bin11101101111101000000…
…01001100000001000101
310121200222000120020201112
432313310001030001011
5113221024301414341
62101300104334405
7133560066606560
oct16676401140105
93550860506645
101022001201221
11364479042020
121460a2174405
13754b344b4c0
143767241b4d7
151b8b8030aeb
hexedf404c045

1022001201221 has 16 divisors (see below), whose sum is σ = 1372197418368. Its totient is φ = 735105758400.

The previous prime is 1022001201217. The next prime is 1022001201227. The reversal of 1022001201221 is 1221021002201.

It is not a de Polignac number, because 1022001201221 - 22 = 1022001201217 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1022001201196 and 1022001201205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022001201227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 510489110 + ... + 510491111.

It is an arithmetic number, because the mean of its divisors is an integer number (85762338648).

Almost surely, 21022001201221 is an apocalyptic number.

1022001201221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1022001201221 is a deficient number, since it is larger than the sum of its proper divisors (350196217147).

1022001201221 is a wasteful number, since it uses less digits than its factorization.

1022001201221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1020980252.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1022001201221 its reverse (1221021002201), we get a palindrome (2243022203422).

The spelling of 1022001201221 in words is "one trillion, twenty-two billion, one million, two hundred one thousand, two hundred twenty-one".

Divisors: 1 7 11 13 77 91 143 1001 1020980221 7146861547 11230782431 13272742873 78615477017 92909200111 146000171603 1022001201221