Search a number
-
+
2131102220022 = 2321947433306191
BaseRepresentation
bin11111000000101111100…
…101110011111011110110
321112201202011210200012200
4133000233211303323312
5234403444132020042
64311003112325330
7306652461662616
oct37005745637366
97481664720180
102131102220022
11751882711156
122a50319a3846
13125c678b61a9
14752084b4a46
153a67c9b4c4c
hex1f02f973ef6

2131102220022 has 96 divisors (see below), whose sum is σ = 4975301560320. Its totient is φ = 657137629440.

The previous prime is 2131102219979. The next prime is 2131102220053. The reversal of 2131102220022 is 2200222011312.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2131102219977 and 2131102220004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6806947 + ... + 7113137.

It is an arithmetic number, because the mean of its divisors is an integer number (51826057920).

Almost surely, 22131102220022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2131102220022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2487650780160).

2131102220022 is an abundant number, since it is smaller than the sum of its proper divisors (2844199340298).

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

2131102220022 is a wasteful number, since it uses less digits than its factorization.

2131102220022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306698 (or 306695 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 2131102220022 its reverse (2200222011312), we get a palindrome (4331324231334).

The spelling of 2131102220022 in words is "two trillion, one hundred thirty-one billion, one hundred two million, two hundred twenty thousand, twenty-two".

Divisors: 1 2 3 6 9 18 19 38 47 57 94 114 141 171 282 342 423 433 846 866 893 1299 1786 2598 2679 3897 5358 7794 8037 8227 16074 16454 20351 24681 40702 49362 61053 74043 122106 148086 183159 306191 366318 386669 612382 773338 918573 1160007 1837146 2320014 2755719 3480021 5511438 5817629 6960042 11635258 14390977 17452887 28781954 34905774 43172931 52358661 86345862 104717322 129518793 132580703 259037586 265161406 273428563 397742109 546857126 795484218 820285689 1193226327 1640571378 2386452654 2460857067 2519033357 4921714134 5038066714 6231293041 7557100071 12462586082 15114200142 18693879123 22671300213 37387758246 45342600426 56081637369 112163274738 118394567779 236789135558 355183703337 710367406674 1065551110011 2131102220022