Search a number
-
+
2100210000100 = 225221002100001
BaseRepresentation
bin11110100011111110010…
…001010110000011100100
321102210000020122022012021
4132203332101112003210
5233402212230000400
64244453445032524
7304510106310532
oct36437621260344
97383006568167
102100210000100
1173a76a87a093
1229b0500b5744
1312308371ca14
1473917777152
153997089971a
hex1e8fe4560e4

2100210000100 has 18 divisors (see below), whose sum is σ = 4557455700434. Its totient is φ = 840084000000.

The previous prime is 2100210000067. The next prime is 2100210000193. The reversal of 2100210000100 is 10000120012.

It can be written as a sum of positive squares in 3 ways, for example, as 78700447296 + 2021509552804 = 280536^2 + 1421798^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10501049901 + ... + 10501050100.

Almost surely, 22100210000100 is an apocalyptic number.

2100210000100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2100210000100 is an abundant number, since it is smaller than the sum of its proper divisors (2457245700334).

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

2100210000100 is a wasteful number, since it uses less digits than its factorization.

2100210000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21002100015 (or 21002100008 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 2100210000100 its reverse (10000120012), we get a palindrome (2110210120112).

The spelling of 2100210000100 in words is "two trillion, one hundred billion, two hundred ten million, one hundred", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 25 50 100 21002100001 42004200002 84008400004 105010500005 210021000010 420042000020 525052500025 1050105000050 2100210000100