Search a number
-
+
2101103000 = 235371101293
BaseRepresentation
bin111110100111100…
…0100100110011000
312102102121002110122
41331033010212120
513300340244000
6544253532412
7103032036503
oct17517044630
95372532418
102101103000
11989021867
124a77a4108
132763b5c19
1415d09613a
15c46d4085
hex7d3c4998

2101103000 has 128 divisors (see below), whose sum is σ = 5052378240. Its totient is φ = 817600000.

The previous prime is 2101102967. The next prime is 2101103003. The reversal of 2101103000 is 3011012.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2101103003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7170854 + ... + 7171146.

It is an arithmetic number, because the mean of its divisors is an integer number (39471705).

Almost surely, 22101103000 is an apocalyptic number.

2101103000 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 2101103000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2526189120).

2101103000 is an abundant number, since it is smaller than the sum of its proper divisors (2951275240).

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

2101103000 is a wasteful number, since it uses less digits than its factorization.

2101103000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 2101103000 is about 45837.7900863469. The cubic root of 2101103000 is about 1280.8033287328.

Adding to 2101103000 its reverse (3011012), we get a palindrome (2104114012).

The spelling of 2101103000 in words is "two billion, one hundred one million, one hundred three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 71 100 101 125 142 200 202 250 284 293 355 404 500 505 568 586 710 808 1000 1010 1172 1420 1465 1775 2020 2344 2525 2840 2930 3550 4040 5050 5860 7100 7171 7325 8875 10100 11720 12625 14200 14342 14650 17750 20200 20803 25250 28684 29300 29593 35500 35855 36625 41606 50500 57368 58600 59186 71000 71710 73250 83212 101000 104015 118372 143420 146500 147965 166424 179275 208030 236744 286840 293000 295930 358550 416060 520075 591860 717100 739825 832120 896375 1040150 1183720 1434200 1479650 1792750 2080300 2101103 2600375 2959300 3585500 3699125 4160600 4202206 5200750 5918600 7171000 7398250 8404412 10401500 10505515 14796500 16808824 20803000 21011030 29593000 42022060 52527575 84044120 105055150 210110300 262637875 420220600 525275750 1050551500 2101103000