Search a number
-
+
3031223100 = 2235283912043
BaseRepresentation
bin1011010010101100…
…1100101100111100
321211020210002101020
42310223030230330
522201443114400
61220441344140
7135054654063
oct26453145474
97736702336
103031223100
111316056864
12707198050
13393cc7149
1420a8131da
1512b1b02a0
hexb4accb3c

3031223100 has 72 divisors (see below), whose sum is σ = 8781521280. Its totient is φ = 807295680.

The previous prime is 3031223077. The next prime is 3031223101. The reversal of 3031223100 is 13221303.

It is a super-2 number, since 2×30312231002 = 18376626963947220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 3031223100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3031223101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 245679 + ... + 257721.

Almost surely, 23031223100 is an apocalyptic number.

3031223100 is a gapful number since it is divisible by the number (30) 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 3031223100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4390760640).

3031223100 is an abundant number, since it is smaller than the sum of its proper divisors (5750298180).

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

3031223100 is a wasteful number, since it uses less digits than its factorization.

3031223100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12899 (or 12892 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 3031223100 is about 55056.5445701054. The cubic root of 3031223100 is about 1447.2358119573.

Adding to 3031223100 its reverse (13221303), we get a palindrome (3044444403).

The spelling of 3031223100 in words is "three billion, thirty-one million, two hundred twenty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 839 1678 2517 3356 4195 5034 8390 10068 12043 12585 16780 20975 24086 25170 36129 41950 48172 50340 60215 62925 72258 83900 120430 125850 144516 180645 240860 251700 301075 361290 602150 722580 903225 1204300 1806450 3612900 10104077 20208154 30312231 40416308 50520385 60624462 101040770 121248924 151561155 202081540 252601925 303122310 505203850 606244620 757805775 1010407700 1515611550 3031223100