Search a number
-
+
2213340433122 = 2371317376444733
BaseRepresentation
bin100000001101010101010…
…111101100101011100010
321211121000111111202101010
4200031111113230223202
5242230410122324442
64412443342521350
7315623432160060
oct40152527545342
97747014452333
102213340433122
11783743a77925
122b8b63296256
1313094263ba50
14791aa5d7030
153c8926ecb9c
hex203555ecae2

2213340433122 has 128 divisors (see below), whose sum is σ = 5924618187264. Its totient is φ = 534551851008.

The previous prime is 2213340433121. The next prime is 2213340433141.

It is a happy number.

2213340433122 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 2213340433122.

It is not an unprimeable number, because it can be changed into a prime (2213340433121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2878933 + ... + 3565800.

It is an arithmetic number, because the mean of its divisors is an integer number (46286079588).

Almost surely, 22213340433122 is an apocalyptic number.

2213340433122 is an abundant number, since it is smaller than the sum of its proper divisors (3711277754142).

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

2213340433122 is a wasteful number, since it uses less digits than its factorization.

2213340433122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6444812.

The product of its (nonzero) digits is 20736, while the sum is 30.

It can be divided in two parts, 2213340 and 433122, that added together give a palindrome (2646462).

The spelling of 2213340433122 in words is "two trillion, two hundred thirteen billion, three hundred forty million, four hundred thirty-three thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 13 14 17 21 26 34 37 39 42 51 74 78 91 102 111 119 182 221 222 238 259 273 357 442 481 518 546 629 663 714 777 962 1258 1326 1443 1547 1554 1887 2886 3094 3367 3774 4403 4641 6734 8177 8806 9282 10101 13209 16354 20202 24531 26418 49062 57239 114478 171717 343434 6444733 12889466 19334199 38668398 45113131 83781529 90226262 109560461 135339393 167563058 219120922 238455121 251344587 270678786 328681383 476910242 502689174 586470703 657362766 715365363 766923227 1172941406 1424285993 1430730726 1533846454 1669185847 1759412109 2300769681 2848571986 3099916573 3338371694 3518824218 4053737057 4272857979 4601539362 5007557541 6199833146 8107474114 8545715958 9299749719 9970001951 10015115082 12161211171 18599499438 19940003902 21699416011 24322422342 28376159399 29910005853 43398832022 52698581741 56752318798 59820011706 65098248033 85128478197 105397163482 130196496066 158095745223 170256956394 316191490446 368890072187 737780144374 1106670216561 2213340433122