Search a number
-
+
12203302100 = 225211171095987
BaseRepresentation
bin10110101110101111…
…11001110011010100
31011111110122222101212
423113113321303110
5144443021131400
65334531040552
7611260233143
oct132727716324
934443588355
1012203302100
1151a249a540
122446a40158
1311c6306b22
1483aa1d75a
154b652d335
hex2d75f9cd4

12203302100 has 144 divisors (see below), whose sum is σ = 30873648960. Its totient is φ = 4137523200.

The previous prime is 12203302087. The next prime is 12203302103. The reversal of 12203302100 is 120330221.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12203302103) 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, 2035307 + ... + 2041293.

It is an arithmetic number, because the mean of its divisors is an integer number (214400340).

Almost surely, 212203302100 is an apocalyptic number.

12203302100 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 12203302100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15436824480).

12203302100 is an abundant number, since it is smaller than the sum of its proper divisors (18670346860).

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

12203302100 is a wasteful number, since it uses less digits than its factorization.

12203302100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6138 (or 6131 counting only the distinct ones).

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

Adding to 12203302100 its reverse (120330221), we get a palindrome (12323632321).

The spelling of 12203302100 in words is "twelve billion, two hundred three million, three hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 11 17 20 22 25 34 44 50 55 68 85 100 109 110 170 187 218 220 275 340 374 425 436 545 550 748 850 935 1090 1100 1199 1700 1853 1870 2180 2398 2725 3706 3740 4675 4796 5450 5987 5995 7412 9265 9350 10900 11974 11990 18530 18700 20383 23948 23980 29935 29975 37060 40766 46325 59870 59950 65857 81532 92650 101779 101915 119740 119900 131714 149675 185300 203558 203830 263428 299350 329285 407116 407660 508895 509575 598700 652583 658570 1017790 1019150 1119569 1305166 1317140 1646425 2035580 2038300 2239138 2544475 2610332 3262915 3292850 4478276 5088950 5597845 6525830 6585700 7178413 10177900 11093911 11195690 13051660 14356826 16314575 22187822 22391380 27989225 28713652 32629150 35892065 44375644 55469555 55978450 65258300 71784130 110939110 111956900 122033021 143568260 179460325 221878220 244066042 277347775 358920650 488132084 554695550 610165105 717841300 1109391100 1220330210 2440660420 3050825525 6101651050 12203302100