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2002122200010 = 2356110729334897
BaseRepresentation
bin11101001000100111110…
…010000101001111001010
321002101211100010210002110
4131020213302011033022
5230300321240400020
64131432351043150
7264435311623062
oct35104762051712
97071740123073
102002122200010
11702105872099
122840368104b6
13116a51125b1a
146cc906783a2
153712e47c8e0
hex1d227c853ca

2002122200010 has 128 divisors (see below), whose sum is σ = 4946474905344. Its totient is φ = 518448476160.

The previous prime is 2002122200003. The next prime is 2002122200033. The reversal of 2002122200010 is 100022212002.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 57354882 + ... + 57389778.

It is an arithmetic number, because the mean of its divisors is an integer number (38644335198).

Almost surely, 22002122200010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2002122200010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2473237452672).

2002122200010 is an abundant number, since it is smaller than the sum of its proper divisors (2944352705334).

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

2002122200010 is a wasteful number, since it uses less digits than its factorization.

2002122200010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35368.

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 2002122200010 its reverse (100022212002), we get a palindrome (2102144412012).

The spelling of 2002122200010 in words is "two trillion, two billion, one hundred twenty-two million, two hundred thousand, ten".

Divisors: 1 2 3 5 6 10 15 30 61 107 122 183 214 293 305 321 366 535 586 610 642 879 915 1070 1465 1605 1758 1830 2930 3210 4395 6527 8790 13054 17873 19581 31351 32635 34897 35746 39162 53619 62702 65270 69794 89365 94053 97905 104691 107238 156755 174485 178730 188106 195810 209382 268095 313510 348970 470265 523455 536190 940530 1046910 1912411 2128717 3733979 3824822 4257434 5737233 6386151 7467958 9562055 10224821 10643585 11201937 11474466 12772302 18669895 19124110 20449642 21287170 22403874 28686165 30674463 31930755 37339790 51124105 56009685 57372330 61348926 63861510 102248210 112019370 153372315 227772719 306744630 455545438 623714081 683318157 1094055847 1138863595 1247428162 1366636314 1871142243 2188111694 2277727190 3118570405 3282167541 3416590785 3742284486 5470279235 6237140810 6564335082 6833181570 9355711215 10940558470 16410837705 18711422430 32821675410 66737406667 133474813334 200212220001 333687033335 400424440002 667374066670 1001061100005 2002122200010