Search a number
-
+
2100103000 = 235310919267
BaseRepresentation
bin111110100101101…
…0000011101011000
312102100201021201121
41331023100131120
513300111244000
6544220255024
7103020403162
oct17513203530
95370637647
102100103000
119884a9516
124a73a1474
132761259c8
1415ccb5932
15c4587b1a
hex7d2d0758

2100103000 has 64 divisors (see below), whose sum is σ = 4959583200. Its totient is φ = 832291200.

The previous prime is 2100102997. The next prime is 2100103009. The reversal of 2100103000 is 3010012.

It is a super-2 number, since 2×21001030002 = 8820865221218000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100103009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99367 + ... + 118633.

Almost surely, 22100103000 is an apocalyptic number.

2100103000 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 2100103000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2479791600).

2100103000 is an abundant number, since it is smaller than the sum of its proper divisors (2859480200).

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

2100103000 is a wasteful number, since it uses less digits than its factorization.

2100103000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19397 (or 19383 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 7.

The square root of 2100103000 is about 45826.8807579133. The cubic root of 2100103000 is about 1280.6001010982.

Adding to 2100103000 its reverse (3010012), we get a palindrome (2103113012).

The spelling of 2100103000 in words is "two billion, one hundred million, one hundred three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 109 125 200 218 250 436 500 545 872 1000 1090 2180 2725 4360 5450 10900 13625 19267 21800 27250 38534 54500 77068 96335 109000 154136 192670 385340 481675 770680 963350 1926700 2100103 2408375 3853400 4200206 4816750 8400412 9633500 10500515 16800824 19267000 21001030 42002060 52502575 84004120 105005150 210010300 262512875 420020600 525025750 1050051500 2100103000