Search a number
-
+
2103130200 = 233523679551
BaseRepresentation
bin111110101011011…
…0011100001011000
312102120102002021010
41331112303201120
513301400131300
6544405213520
7103055211633
oct17526634130
95376362233
102103130200
1198a186936
124a84012a0
13276945852
1415d462c1a
15c4984a50
hex7d5b3858

2103130200 has 96 divisors (see below), whose sum is σ = 6538152960. Its totient is φ = 559248000.

The previous prime is 2103130193. The next prime is 2103130217. The reversal of 2103130200 is 20313012.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

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, 215425 + ... + 224975.

It is an arithmetic number, because the mean of its divisors is an integer number (68105760).

Almost surely, 22103130200 is an apocalyptic number.

2103130200 is a gapful number since it is divisible by the number (20) 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 2103130200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3269076480).

2103130200 is an abundant number, since it is smaller than the sum of its proper divisors (4435022760).

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

2103130200 is a wasteful number, since it uses less digits than its factorization.

2103130200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9937 (or 9928 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 2103130200 is about 45859.8975140591. The cubic root of 2103130200 is about 1281.2151140214.

Adding to 2103130200 its reverse (20313012), we get a palindrome (2123443212).

The spelling of 2103130200 in words is "two billion, one hundred three million, one hundred thirty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 367 600 734 1101 1468 1835 2202 2936 3670 4404 5505 7340 8808 9175 9551 11010 14680 18350 19102 22020 27525 28653 36700 38204 44040 47755 55050 57306 73400 76408 95510 110100 114612 143265 191020 220200 229224 238775 286530 382040 477550 573060 716325 955100 1146120 1432650 1910200 2865300 3505217 5730600 7010434 10515651 14020868 17526085 21031302 28041736 35052170 42062604 52578255 70104340 84125208 87630425 105156510 140208680 175260850 210313020 262891275 350521700 420626040 525782550 701043400 1051565100 2103130200