Search a number
-
+
2200100112300 = 22352109601111949
BaseRepresentation
bin100000000001000000001…
…011111000011110101100
321210022211202111202201110
4200001000023320132230
5242021301112043200
64402413444512020
7314644350252456
oct40010013703654
97708752452643
102200100112300
1177906a17a922
122b64890ab610
1312c61253619c
14786b1d912d6
153c36a129b50
hex200402f87ac

2200100112300 has 144 divisors (see below), whose sum is σ = 6434769572000. Its totient is φ = 580338432000.

The previous prime is 2200100112257. The next prime is 2200100112317. The reversal of 2200100112300 is 32110010022.

It is a super-2 number, since 2×22001001123002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19596726 + ... + 19708674.

Almost surely, 22200100112300 is an apocalyptic number.

2200100112300 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 2200100112300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3217384786000).

2200100112300 is an abundant number, since it is smaller than the sum of its proper divisors (4234669459700).

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

2200100112300 is a wasteful number, since it uses less digits than its factorization.

2200100112300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112676 (or 112669 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 2200100112300 its reverse (32110010022), we get a palindrome (2232210122322).

The spelling of 2200100112300 in words is "two trillion, two hundred billion, one hundred million, one hundred twelve thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 109 150 218 300 327 436 545 601 654 1090 1202 1308 1635 1803 2180 2404 2725 3005 3270 3606 5450 6010 6540 7212 8175 9015 10900 12020 15025 16350 18030 30050 32700 36060 45075 60100 65509 90150 111949 131018 180300 196527 223898 262036 327545 335847 393054 447796 559745 655090 671694 786108 982635 1119490 1310180 1343388 1637725 1679235 1965270 2238980 2798725 3275450 3358470 3930540 4913175 5597450 6550900 6716940 8396175 9826350 11194900 12202441 16792350 19652700 24404882 33584700 36607323 48809764 61012205 67281349 73214646 122024410 134562698 146429292 183036615 201844047 244048820 269125396 305061025 336406745 366073230 403688094 610122050 672813490 732146460 807376188 915183075 1009220235 1220244100 1345626980 1682033725 1830366150 2018440470 3364067450 3660732300 4036880940 5046101175 6728134900 7333667041 10092202350 14667334082 20184404700 22001001123 29334668164 36668335205 44002002246 73336670410 88004004492 110005005615 146673340820 183341676025 220010011230 366683352050 440020022460 550025028075 733366704100 1100050056150 2200100112300