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12032300010 = 2353183971607
BaseRepresentation
bin10110011010010111…
…00101001111101010
31011001112220011122010
423031023211033222
5144120232100020
65305541540350
7604112601603
oct131513451752
934045804563
1012032300010
115114a130a5
1223b97146b6
131199a63663
14822028daa
154a6500de0
hex2cd2e53ea

12032300010 has 128 divisors (see below), whose sum is σ = 30498177024. Its totient is φ = 3034183680.

The previous prime is 12032300009. The next prime is 12032300011. The reversal of 12032300010 is 1000323021.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12032300009) and next prime (12032300011).

It is not an unprimeable number, because it can be changed into a prime (12032300011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7486627 + ... + 7488233.

It is an arithmetic number, because the mean of its divisors is an integer number (238267008).

Almost surely, 212032300010 is an apocalyptic number.

12032300010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12032300010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15249088512).

12032300010 is an abundant number, since it is smaller than the sum of its proper divisors (18465877014).

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

12032300010 is a wasteful number, since it uses less digits than its factorization.

12032300010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1828.

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

Adding to 12032300010 its reverse (1000323021), we get a palindrome (13032623031).

The spelling of 12032300010 in words is "twelve billion, thirty-two million, three hundred thousand, ten".

Divisors: 1 2 3 5 6 10 15 30 31 62 83 93 97 155 166 186 194 249 291 310 415 465 485 498 582 830 930 970 1245 1455 1607 2490 2573 2910 3007 3214 4821 5146 6014 7719 8035 8051 9021 9642 12865 15035 15438 16070 16102 18042 24105 24153 25730 30070 38595 40255 45105 48210 48306 49817 77190 80510 90210 99634 120765 133381 149451 155879 241530 249085 249581 266762 298902 311758 400143 467637 498170 499162 666905 747255 748743 779395 800286 935274 1247905 1333810 1494510 1497486 1558790 2000715 2338185 2495810 3743715 4001430 4134811 4676370 4832249 7487430 8269622 9664498 12404433 12937957 14496747 20674055 24161245 24808866 25875914 28993494 38813871 41348110 48322490 62022165 64689785 72483735 77627742 124044330 129379570 144967470 194069355 388138710 401076667 802153334 1203230001 2005383335 2406460002 4010766670 6016150005 12032300010