Search a number
-
+
12132030300 = 223521311327529
BaseRepresentation
bin10110100110010000…
…00001011101011100
31011022111112222212120
423103020001131130
5144321244432200
65323503302540
7606433361505
oct132310013534
934274488776
1012132030300
11516623aa25
122426baaa50
1311b4611470
14831389bac
154b01509a0
hex2d320175c

12132030300 has 144 divisors (see below), whose sum is σ = 38138079840. Its totient is φ = 2959810560.

The previous prime is 12132030199. The next prime is 12132030301. The reversal of 12132030300 is 303023121.

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 12132030300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12132030301) 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, 426936 + ... + 454464.

Almost surely, 212132030300 is an apocalyptic number.

12132030300 is a gapful number since it is divisible by the number (10) 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 12132030300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19069039920).

12132030300 is an abundant number, since it is smaller than the sum of its proper divisors (26006049540).

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

12132030300 is a wasteful number, since it uses less digits than its factorization.

12132030300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27672 (or 27665 counting only the distinct ones).

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

Adding to 12132030300 its reverse (303023121), we get a palindrome (12435053421).

The spelling of 12132030300 in words is "twelve billion, one hundred thirty-two million, thirty thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 113 130 150 156 195 226 260 300 325 339 390 452 565 650 678 780 975 1130 1300 1356 1469 1695 1950 2260 2825 2938 3390 3900 4407 5650 5876 6780 7345 8475 8814 11300 14690 16950 17628 22035 27529 29380 33900 36725 44070 55058 73450 82587 88140 110116 110175 137645 146900 165174 220350 275290 330348 357877 412935 440700 550580 688225 715754 825870 1073631 1376450 1431508 1651740 1789385 2064675 2147262 2752900 3110777 3578770 4129350 4294524 5368155 6221554 7157540 8258700 8946925 9332331 10736310 12443108 15553885 17893850 18664662 21472620 26840775 31107770 35787700 37329324 40440101 46661655 53681550 62215540 77769425 80880202 93323310 107363100 121320303 155538850 161760404 186646620 202200505 233308275 242640606 311077700 404401010 466616550 485281212 606601515 808802020 933233100 1011002525 1213203030 2022005050 2426406060 3033007575 4044010100 6066015150 12132030300