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1022121020011 = 713171823362431
BaseRepresentation
bin11101101111110110010…
…10010000101001101011
310121201021101000200012111
432313323022100221223
5113221300440120021
62101320024423151
7133563053214520
oct16677312205153
93551241020174
101022121020011
1136452a73a713
12146116317ab7
1375502210ab0
14376842cb147
151b8c37ec8e1
hexedfb290a6b

1022121020011 has 32 divisors (see below), whose sum is σ = 1332729151488. Its totient is φ = 760720273920.

The previous prime is 1022121019879. The next prime is 1022121020087. The reversal of 1022121020011 is 1100201212201.

It is a cyclic number.

It is not a de Polignac number, because 1022121020011 - 211 = 1022121017963 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 1022121019973 and 1022121020000.

It is not an unprimeable number, because it can be changed into a prime (1022121020411) 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 31 ways as a sum of consecutive naturals, for example, 2638966 + ... + 3001396.

It is an arithmetic number, because the mean of its divisors is an integer number (41647785984).

Almost surely, 21022121020011 is an apocalyptic number.

1022121020011 is a deficient number, since it is larger than the sum of its proper divisors (310608131477).

1022121020011 is a wasteful number, since it uses less digits than its factorization.

1022121020011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364291.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 1022121020011 its reverse (1100201212201), we get a palindrome (2122322232212).

The spelling of 1022121020011 in words is "one trillion, twenty-two billion, one hundred twenty-one million, twenty thousand, eleven".

Divisors: 1 7 13 17 91 119 221 1547 1823 12761 23699 30991 165893 216937 362431 402883 2537017 2820181 4711603 6161327 32981221 43129289 80097251 560680757 660711713 4624981991 8589252269 11232099121 60124765883 78624693847 146017288573 1022121020011