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1122122022021 = 3272111317793667
BaseRepresentation
bin10000010101000011101…
…011110011110010000101
310222021101121112220221200
4100111003223303302011
5121341101214201041
62215255025133113
7144033141545400
oct20250353636205
93867347486850
101122122022021
113a298669a620
1216158448a199
1381a7acb1630
143c44d52cd37
151e2c7b841b6
hex10543af3c85

1122122022021 has 72 divisors (see below), whose sum is σ = 2215098141984. Its totient is φ = 538080459840.

The previous prime is 1122122022001. The next prime is 1122122022121. The reversal of 1122122022021 is 1202202212211.

It is a happy number.

1122122022021 is a `hidden beast` number, since 1 + 1 + 221 + 220 + 220 + 2 + 1 = 666.

It is not a de Polignac number, because 1122122022021 - 29 = 1122122021509 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1122122021985 and 1122122022003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1122122022001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8833771 + ... + 8959896.

It is an arithmetic number, because the mean of its divisors is an integer number (30765251972).

Almost surely, 21122122022021 is an apocalyptic number.

1122122022021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1122122022021 is a deficient number, since it is larger than the sum of its proper divisors (1092976119963).

1122122022021 is a wasteful number, since it uses less digits than its factorization.

1122122022021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17793711 (or 17793701 counting only the distinct ones).

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

Adding to 1122122022021 its reverse (1202202212211), we get a palindrome (2324324234232).

The spelling of 1122122022021 in words is "one trillion, one hundred twenty-two billion, one hundred twenty-two million, twenty-two thousand, twenty-one".

Divisors: 1 3 7 9 11 13 21 33 39 49 63 77 91 99 117 143 147 231 273 429 441 539 637 693 819 1001 1287 1617 1911 3003 4851 5733 7007 9009 21021 63063 17793667 53381001 124555669 160143003 195730337 231317671 373667007 587191011 693953013 871889683 1121001021 1370112359 1619223697 1761573033 2081859039 2544494381 2615669049 4110337077 4857671091 7633483143 7847007147 9590786513 11334565879 12331011231 14573013273 17811460667 22900449429 28772359539 34003697637 53434382001 86317078617 102011092911 124680224669 160303146003 374040674007 1122122022021