Search a number
-
+
2002122201009 = 371722632694663
BaseRepresentation
bin11101001000100111110…
…010000101011110110001
321002101211100010211110110
4131020213302011132301
5230300321240413014
64131432351051533
7264435311626020
oct35104762053661
97071740124413
102002122201009
11702105872917
12284036810ba9
13116a51126408
146cc906788b7
153712e47cd59
hex1d227c857b1

2002122201009 has 96 divisors (see below), whose sum is σ = 3265988014080. Its totient is φ = 1068460581888.

The previous prime is 2002122200993. The next prime is 2002122201029. The reversal of 2002122201009 is 9001022212002.

It is a happy number.

It is not a de Polignac number, because 2002122201009 - 24 = 2002122200993 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2002122201029) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 429361212 + ... + 429365874.

It is an arithmetic number, because the mean of its divisors is an integer number (34020708480).

Almost surely, 22002122201009 is an apocalyptic number.

It is an amenable number.

2002122201009 is a deficient number, since it is larger than the sum of its proper divisors (1263865813071).

2002122201009 is a wasteful number, since it uses less digits than its factorization.

2002122201009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5239 (or 5222 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The spelling of 2002122201009 in words is "two trillion, two billion, one hundred twenty-two million, two hundred one thousand, nine".

Divisors: 1 3 7 17 21 51 119 263 269 289 357 789 807 867 1841 1883 2023 4471 4573 4663 5523 5649 6069 13413 13719 13989 31297 32011 32641 70747 76007 77741 79271 93891 96033 97923 212241 228021 233223 237813 495229 532049 544187 554897 1202699 1226369 1254347 1347607 1485687 1596147 1632561 1664691 3608097 3679107 3763041 4042821 8418893 8584583 8780429 9433249 20445883 20848273 21323899 25256679 25753749 26341287 28299747 61337649 62544819 63971697 143121181 145937911 149267293 329893261 354420641 362506283 429363543 437813733 447801879 989679783 1063261923 1087518849 2309252827 2480944487 2537543981 5608185437 6927758481 7442833461 7612631943 16824556311 39257298059 95339152429 117771894177 286017457287 667374067003 2002122201009