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2181320229018 = 2373118163114669
BaseRepresentation
bin11111101111100000110…
…100010100000010011010
321201112100221211211221210
4133233200310110002122
5241214320434312033
64350030142443550
7313411102010250
oct37574064240232
97645327754853
102181320229018
11771102447627
122b29078935b6
1312a90b877308
147780db545d0
153bb1b56ed63
hex1fbe0d1409a

2181320229018 has 128 divisors (see below), whose sum is σ = 5183699189760. Its totient is φ = 598806432000.

The previous prime is 2181320229007. The next prime is 2181320229029. The reversal of 2181320229018 is 8109220231812.

It is an interprime number because it is at equal distance from previous prime (2181320229007) and next prime (2181320229029).

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, 148695388 + ... + 148710056.

It is an arithmetic number, because the mean of its divisors is an integer number (40497649920).

Almost surely, 22181320229018 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2181320229018, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2591849594880).

2181320229018 is an abundant number, since it is smaller than the sum of its proper divisors (3002378960742).

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

2181320229018 is a wasteful number, since it uses less digits than its factorization.

2181320229018 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15524.

The product of its (nonzero) digits is 27648, while the sum is 39.

The spelling of 2181320229018 in words is "two trillion, one hundred eighty-one billion, three hundred twenty million, two hundred twenty-nine thousand, eighteen".

Divisors: 1 2 3 6 7 14 21 31 42 62 93 181 186 217 362 434 543 631 651 1086 1262 1267 1302 1893 2534 3786 3801 4417 5611 7602 8834 11222 13251 14669 16833 19561 26502 29338 33666 39122 39277 44007 58683 78554 88014 102683 114211 117366 117831 136927 205366 228422 235662 273854 308049 342633 410781 454739 616098 685266 799477 821562 909478 1364217 1598954 2398431 2655089 2728434 3183173 3540541 4796862 5310178 6366346 7081082 7965267 9256139 9549519 10621623 15930534 18512278 18585623 19099038 21243246 24783787 27768417 37171246 49567574 55536834 55756869 64792973 74351361 82307759 111513738 129585946 148702722 164615518 194378919 246923277 286940309 388757838 493846554 573880618 576154313 860820927 1152308626 1675361159 1721641854 1728462939 2008582163 3350722318 3456925878 4017164326 5026083477 6025746489 10052166954 11727528113 12051492978 23455056226 35182584339 51936195929 70365168678 103872391858 155808587787 311617175574 363553371503 727106743006 1090660114509 2181320229018