Search a number
-
+
2123130300 = 22352193710067
BaseRepresentation
bin111111010001100…
…0110010110111100
312110222001012020120
41332203012112330
513322010132200
6550402014540
7103420211154
oct17643062674
95428035216
102123130300
1199a4a7245
124b3047450
1327ab29025
14161d8b764
15c65d59a0
hex7e8c65bc

2123130300 has 144 divisors (see below), whose sum is σ = 6641658240. Its totient is φ = 521821440.

The previous prime is 2123130283. The next prime is 2123130307. The reversal of 2123130300 is 30313212.

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 2123130300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2123130307) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 205867 + ... + 215933.

Almost surely, 22123130300 is an apocalyptic number.

2123130300 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 2123130300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3320829120).

2123130300 is an abundant number, since it is smaller than the sum of its proper divisors (4518527940).

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

2123130300 is a wasteful number, since it uses less digits than its factorization.

2123130300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10140 (or 10133 counting only the distinct ones).

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

The square root of 2123130300 is about 46077.4380798238. The cubic root of 2123130300 is about 1285.2636238891.

Adding to 2123130300 its reverse (30313212), we get a palindrome (2153443512).

The spelling of 2123130300 in words is "two billion, one hundred twenty-three million, one hundred thirty thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 37 38 50 57 60 74 75 76 95 100 111 114 148 150 185 190 222 228 285 300 370 380 444 475 555 570 703 740 925 950 1110 1140 1406 1425 1850 1900 2109 2220 2775 2812 2850 3515 3700 4218 5550 5700 7030 8436 10067 10545 11100 14060 17575 20134 21090 30201 35150 40268 42180 50335 52725 60402 70300 100670 105450 120804 151005 191273 201340 210900 251675 302010 372479 382546 503350 573819 604020 744958 755025 765092 956365 1006700 1117437 1147638 1489916 1510050 1862395 1912730 2234874 2295276 2869095 3020100 3724790 3825460 4469748 4781825 5587185 5738190 7077101 7449580 9311975 9563650 11174370 11476380 14154202 14345475 18623950 19127300 21231303 22348740 27935925 28308404 28690950 35385505 37247900 42462606 55871850 57381900 70771010 84925212 106156515 111743700 141542020 176927525 212313030 353855050 424626060 530782575 707710100 1061565150 2123130300