Search a number
-
+
5011022100 = 22352710323167
BaseRepresentation
bin1001010101010111…
…00010000100010100
3110221020010022001010
410222223202010110
540230310201400
62145123332220
7235114661610
oct45253420424
913836108033
105011022100
112141656087
12b7a221070
1361b21a746
14357730340
151e4dd2450
hex12aae2114

5011022100 has 144 divisors (see below), whose sum is σ = 16731373568. Its totient is φ = 1134207360.

The previous prime is 5011022099. The next prime is 5011022101. The reversal of 5011022100 is 12201105.

It is an interprime number because it is at equal distance from previous prime (5011022099) and next prime (5011022101).

It is a super-2 number, since 2×50110221002 = 50220684973376820000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5011022101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 204717 + ... + 227883.

Almost surely, 25011022100 is an apocalyptic number.

5011022100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5011022100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8365686784).

5011022100 is an abundant number, since it is smaller than the sum of its proper divisors (11720351468).

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

5011022100 is a wasteful number, since it uses less digits than its factorization.

5011022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23294 (or 23287 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 12.

The square root of 5011022100 is about 70788.5732304303. The cubic root of 5011022100 is about 1711.2315262454.

Adding to 5011022100 its reverse (12201105), we get a palindrome (5023223205).

The spelling of 5011022100 in words is "five billion, eleven million, twenty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 103 105 140 150 175 206 210 300 309 350 412 420 515 525 618 700 721 1030 1050 1236 1442 1545 2060 2100 2163 2575 2884 3090 3605 4326 5150 6180 7210 7725 8652 10300 10815 14420 15450 18025 21630 23167 30900 36050 43260 46334 54075 69501 72100 92668 108150 115835 139002 162169 216300 231670 278004 324338 347505 463340 486507 579175 648676 695010 810845 973014 1158350 1390020 1621690 1737525 1946028 2316700 2386201 2432535 3243380 3475050 4054225 4772402 4865070 6950100 7158603 8108450 9544804 9730140 11931005 12162675 14317206 16216900 16703407 23862010 24325350 28634412 33406814 35793015 47724020 48650700 50110221 59655025 66813628 71586030 83517035 100220442 119310050 143172060 167034070 178965075 200440884 238620100 250551105 334068140 357930150 417585175 501102210 715860300 835170350 1002204420 1252755525 1670340700 2505511050 5011022100