Search a number
-
+
2211220121202 = 234149390723447
BaseRepresentation
bin100000001011010110111…
…111010110011001110010
321211101112201202202020000
4200023112333112121302
5242212034322334302
64411453121130430
7315520044624501
oct40132677263162
97741481682200
102211220121202
11782856126124
122b8671189a16
1313069528b801
1479048b80838
153c7bb4c231c
hex202d6fd6672

2211220121202 has 80 divisors (see below), whose sum is σ = 4989513988800. Its totient is φ = 731907967392.

The previous prime is 2211220121179. The next prime is 2211220121249. The reversal of 2211220121202 is 2021210221122.

It is a happy number.

2211220121202 is a `hidden beast` number, since 221 + 1 + 220 + 1 + 21 + 202 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 94295443 + ... + 94318889.

It is an arithmetic number, because the mean of its divisors is an integer number (62368924860).

Almost surely, 22211220121202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2211220121202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2494756994400).

2211220121202 is an abundant number, since it is smaller than the sum of its proper divisors (2778293867598).

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

2211220121202 is a wasteful number, since it uses less digits than its factorization.

2211220121202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27517 (or 27508 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 2211220121202 its reverse (2021210221122), we get a palindrome (4232430342324).

The spelling of 2211220121202 in words is "two trillion, two hundred eleven billion, two hundred twenty million, one hundred twenty-one thousand, two hundred two".

Divisors: 1 2 3 6 9 18 27 54 81 149 162 298 447 894 1341 2682 3907 4023 7814 8046 11721 12069 23442 23447 24138 35163 46894 70326 70341 105489 140682 210978 211023 316467 422046 582143 632934 633069 1164286 1266138 1746429 1899207 3492858 3493603 3798414 5239287 6987206 10478574 10480809 15717861 20961618 31435722 31442427 47153583 62884854 91607429 94307166 94327281 183214858 188654562 274822287 282981843 549644574 565963686 824466861 1648933722 2473400583 4946801166 7420201749 13649506921 14840403498 27299013842 40948520763 81897041526 122845562289 245691124578 368536686867 737073373734 1105610060601 2211220121202