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2121112121022 = 233672832071613
BaseRepresentation
bin11110110111011100001…
…000100110111010111110
321111202221221200001201000
4132313130020212322332
5234223014200333042
64302231522031130
7306150064355556
oct36673410467276
97452857601630
102121112121022
11748616549994
122a31041a84a6
13125034c844cb
147493b7ac166
153a29591074c
hex1eddc226ebe

2121112121022 has 64 divisors (see below), whose sum is σ = 4800841148160. Its totient is φ = 694023165792.

The previous prime is 2121112121021. The next prime is 2121112121047. The reversal of 2121112121022 is 2201212111212.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2121112120986 and 2121112121004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2121112121021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11913 + ... + 2059700.

It is an arithmetic number, because the mean of its divisors is an integer number (75013142940).

Almost surely, 22121112121022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2121112121022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2400420574080).

2121112121022 is an abundant number, since it is smaller than the sum of its proper divisors (2679729027138).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2121112121022 is a wasteful number, since it uses less digits than its factorization.

2121112121022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2071974 (or 2071968 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 2121112121022 its reverse (2201212111212), we get a palindrome (4322324232234).

The spelling of 2121112121022 in words is "two trillion, one hundred twenty-one billion, one hundred twelve million, one hundred twenty-one thousand, twenty-two".

Divisors: 1 2 3 6 9 18 27 54 67 134 201 283 402 566 603 849 1206 1698 1809 2547 3618 5094 7641 15282 18961 37922 56883 113766 170649 341298 511947 1023894 2071613 4143226 6214839 12429678 18644517 37289034 55933551 111867102 138798071 277596142 416394213 586266479 832788426 1172532958 1249182639 1758799437 2498365278 3517598874 3747547917 5276398311 7495095834 10552796622 15829194933 31658389866 39279854093 78559708186 117839562279 235679124558 353518686837 707037373674 1060556060511 2121112121022