Search a number
-
+
2200201110100 = 225273598755277
BaseRepresentation
bin100000000001000110001…
…101001010001001010100
321210100002210112222122201
4200001012031022021110
5242022002441010400
64402431453334244
7314650014601630
oct40010615121124
97710083488581
102200201110100
11779111192a84
122b64b6a97384
1312c62a438bb6
14786c1561dc0
153c373e2a06a
hex2004634a254

2200201110100 has 72 divisors (see below), whose sum is σ = 5471698538880. Its totient is φ = 752253313920.

The previous prime is 2200201110089. The next prime is 2200201110169. The reversal of 2200201110100 is 10111020022.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4126339 + ... + 4628938.

It is an arithmetic number, because the mean of its divisors is an integer number (75995813040).

Almost surely, 22200201110100 is an apocalyptic number.

2200201110100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2200201110100 is an abundant number, since it is smaller than the sum of its proper divisors (3271497428780).

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

2200201110100 is a wasteful number, since it uses less digits than its factorization.

2200201110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8755657 (or 8755650 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 2200201110100 its reverse (10111020022), we get a palindrome (2210312130122).

The spelling of 2200201110100 in words is "two trillion, two hundred billion, two hundred one million, one hundred ten thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 359 700 718 1436 1795 2513 3590 5026 7180 8975 10052 12565 17950 25130 35900 50260 62825 125650 251300 8755277 17510554 35021108 43776385 61286939 87552770 122573878 175105540 218881925 245147756 306434695 437763850 612869390 875527700 1225738780 1532173475 3064346950 3143144443 6128693900 6286288886 12572577772 15715722215 22002011101 31431444430 44004022202 62862888860 78578611075 88008044404 110010055505 157157222150 220020111010 314314444300 440040222020 550050277525 1100100555050 2200201110100