Search a number
-
+
2002101122010 = 23511232111250149
BaseRepresentation
bin11101001000100110100…
…001101011001111011010
321002101202212110220111210
4131020212201223033122
5230300300341401020
64131430315203550
7264434634514143
oct35104641531732
97071685426453
102002101122010
117020a4985960
1228402b7465b6
13116a49955b32
146cc8b94caca
153712c6b73e0
hex1d22686b3da

2002101122010 has 128 divisors (see below), whose sum is σ = 5495699404800. Its totient is φ = 462054700800.

The previous prime is 2002101121913. The next prime is 2002101122023. The reversal of 2002101122010 is 102211012002.

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, 976416 + ... + 2226564.

It is an arithmetic number, because the mean of its divisors is an integer number (42935151600).

Almost surely, 22002101122010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2002101122010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2747849702400).

2002101122010 is an abundant number, since it is smaller than the sum of its proper divisors (3493598282790).

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

2002101122010 is a wasteful number, since it uses less digits than its factorization.

2002101122010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1250404.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 2002101122010 its reverse (102211012002), we get a palindrome (2104312134012).

The spelling of 2002101122010 in words is "two trillion, two billion, one hundred one million, one hundred twenty-two thousand, ten".

Divisors: 1 2 3 5 6 10 11 15 22 23 30 33 46 55 66 69 110 115 138 165 211 230 253 330 345 422 506 633 690 759 1055 1265 1266 1518 2110 2321 2530 3165 3795 4642 4853 6330 6963 7590 9706 11605 13926 14559 23210 24265 29118 34815 48530 53383 69630 72795 106766 145590 160149 266915 320298 533830 800745 1250149 1601490 2500298 3750447 6250745 7500894 12501490 13751639 18752235 27503278 28753427 37504470 41254917 57506854 68758195 82509834 86260281 137516390 143767135 172520562 206274585 263781439 287534270 316287697 412549170 431301405 527562878 632575394 791344317 862602810 948863091 1318907195 1581438485 1582688634 1897726182 2637814390 2901595829 3162876970 3956721585 4744315455 5803191658 6066973097 7913443170 8704787487 9488630910 12133946194 14507979145 17409574974 18200919291 29015958290 30334865485 36401838582 43523937435 60669730970 66736704067 87047874870 91004596455 133473408134 182009192910 200210112201 333683520335 400420224402 667367040670 1001050561005 2002101122010