Search a number
-
+
2202120102 = 2371319792687
BaseRepresentation
bin1000001101000001…
…1010111110100110
312200110200021212210
42003100122332212
514002220320402
61002303024250
7105366466140
oct20320327646
95613607783
102202120102
11a30048476
1251559b086
132912c4660
1416c66dc90
15cd4da06c
hex8341afa6

2202120102 has 128 divisors (see below), whose sum is σ = 5780275200. Its totient is φ = 543044736.

The previous prime is 2202120101. The next prime is 2202120103. The reversal of 2202120102 is 2010212022.

It is an interprime number because it is at equal distance from previous prime (2202120101) and next prime (2202120103).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2202120101) 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, 818203 + ... + 820889.

It is an arithmetic number, because the mean of its divisors is an integer number (45158400).

Almost surely, 22202120102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2202120102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2890137600).

2202120102 is an abundant number, since it is smaller than the sum of its proper divisors (3578155098).

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

2202120102 is a wasteful number, since it uses less digits than its factorization.

2202120102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2810.

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 2202120102 is about 46926.7525192187. The cubic root of 2202120102 is about 1301.0090985564.

Adding to 2202120102 its reverse (2010212022), we get a palindrome (4212332124).

The spelling of 2202120102 in words is "two billion, two hundred two million, one hundred twenty thousand, one hundred two".

Divisors: 1 2 3 6 7 13 14 19 21 26 38 39 42 57 78 79 91 114 133 158 182 237 247 266 273 399 474 494 546 553 741 798 1027 1106 1482 1501 1659 1729 2054 2687 3002 3081 3318 3458 4503 5187 5374 6162 7189 8061 9006 10374 10507 14378 16122 18809 19513 21014 21567 31521 34931 37618 39026 43134 51053 56427 58539 63042 69862 102106 104793 112854 117078 136591 153159 209586 212273 244517 273182 306318 357371 409773 424546 489034 636819 663689 714742 733551 819546 1072113 1273638 1327378 1467102 1485911 1991067 2144226 2759549 2971822 3982134 4033187 4457733 4645823 5519098 8066374 8278647 8915466 9291646 12099561 13937469 16557294 19316843 24199122 27874938 28232309 38633686 52431431 56464618 57950529 84696927 104862862 115901058 157294293 169393854 314588586 367020017 734040034 1101060051 2202120102