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2113240122 = 2327411273221
BaseRepresentation
bin111110111110101…
…0111110000111010
312110021102201110200
41331331113300322
513311442140442
6545410023030
7103240146630
oct17575276072
95407381420
102113240122
11994961644
124ab877a76
13278a75456
14160935350
15c57d034c
hex7df57c3a

2113240122 has 96 divisors (see below), whose sum is σ = 5404299264. Its totient is φ = 584236800.

The previous prime is 2113240109. The next prime is 2113240127. The reversal of 2113240122 is 2210423112.

It is a happy number.

2113240122 is a `hidden beast` number, since 211 + 32 + 401 + 22 = 666.

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 = 2113240095 and 2113240104.

It is not an unprimeable number, because it can be changed into a prime (2113240127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 654472 + ... + 657692.

It is an arithmetic number, because the mean of its divisors is an integer number (56294784).

Almost surely, 22113240122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2113240122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2702149632).

2113240122 is an abundant number, since it is smaller than the sum of its proper divisors (3291059142).

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

2113240122 is a wasteful number, since it uses less digits than its factorization.

2113240122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3404 (or 3401 counting only the distinct ones).

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

The square root of 2113240122 is about 45969.9915379588. The cubic root of 2113240122 is about 1283.2648024273.

Adding to 2113240122 its reverse (2210423112), we get a palindrome (4323663234).

The spelling of 2113240122 in words is "two billion, one hundred thirteen million, two hundred forty thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 41 42 63 82 123 126 127 246 254 287 369 381 574 738 762 861 889 1143 1722 1778 2286 2583 2667 3221 5166 5207 5334 6442 8001 9663 10414 15621 16002 19326 22547 28989 31242 36449 45094 46863 57978 67641 72898 93726 109347 132061 135282 202923 218694 264122 328041 396183 405846 409067 656082 792366 818134 924427 1188549 1227201 1848854 2377098 2454402 2773281 2863469 3681603 5546562 5726938 7363206 8319843 8590407 16639686 16771747 17180814 25771221 33543494 50315241 51542442 100630482 117402229 150945723 234804458 301891446 352206687 704413374 1056620061 2113240122