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12203013200 = 245274639413
BaseRepresentation
bin10110101110101101…
…10011010001010000
31011111110010022002212
423113112303101100
5144442432410300
65334520531252
7611254620650
oct132726632120
934443108085
1012203013200
1151a2312484
122446920b28
1311c6235491
1483a986360
154b64c2935
hex2d75b3450

12203013200 has 120 divisors (see below), whose sum is σ = 33581922048. Its totient is φ = 4174410240.

The previous prime is 12203013181. The next prime is 12203013203. The reversal of 12203013200 is 231030221.

It is a happy number.

12203013200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12203013203) 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, 1291694 + ... + 1301106.

Almost surely, 212203013200 is an apocalyptic number.

12203013200 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 12203013200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16790961024).

12203013200 is an abundant number, since it is smaller than the sum of its proper divisors (21378908848).

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

12203013200 is a wasteful number, since it uses less digits than its factorization.

12203013200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9901 (or 9890 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 12203013200 its reverse (231030221), we get a palindrome (12434043421).

The spelling of 12203013200 in words is "twelve billion, two hundred three million, thirteen thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 140 175 200 280 350 400 463 560 700 926 1400 1852 2315 2800 3241 3704 4630 6482 7408 9260 9413 11575 12964 16205 18520 18826 23150 25928 32410 37040 37652 46300 47065 51856 64820 65891 75304 81025 92600 94130 129640 131782 150608 162050 185200 188260 235325 259280 263564 324100 329455 376520 470650 527128 648200 658910 753040 941300 1054256 1296400 1317820 1647275 1882600 2635640 3294550 3765200 4358219 5271280 6589100 8716438 13178200 17432876 21791095 26356400 30507533 34865752 43582190 61015066 69731504 87164380 108955475 122030132 152537665 174328760 217910950 244060264 305075330 348657520 435821900 488120528 610150660 762688325 871643800 1220301320 1525376650 1743287600 2440602640 3050753300 6101506600 12203013200