Search a number
-
+
2103011600 = 245261791091
BaseRepresentation
bin111110101011001…
…0110100100010000
312102120012001120112
41331112112210100
513301332332400
6544402500452
7103054206104
oct17526264420
95376161515
102103011600
1198a105818
124a8364728
13276903881
1415d431904
15c495e835
hex7d596910

2103011600 has 120 divisors (see below), whose sum is σ = 5205083520. Its totient is φ = 816192000.

The previous prime is 2103011591. The next prime is 2103011623. The reversal of 2103011600 is 61103012.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1927055 + ... + 1928145.

It is an arithmetic number, because the mean of its divisors is an integer number (43375696).

Almost surely, 22103011600 is an apocalyptic number.

2103011600 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 2103011600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2602541760).

2103011600 is an abundant number, since it is smaller than the sum of its proper divisors (3102071920).

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

2103011600 is a wasteful number, since it uses less digits than its factorization.

2103011600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1249 (or 1238 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 2103011600 is about 45858.6044270865. The cubic root of 2103011600 is about 1281.1910300839.

Adding to 2103011600 its reverse (61103012), we get a palindrome (2164114612).

The spelling of 2103011600 in words is "two billion, one hundred three million, eleven thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 61 79 80 100 122 158 200 244 305 316 395 400 488 610 632 790 976 1091 1220 1264 1525 1580 1975 2182 2440 3050 3160 3950 4364 4819 4880 5455 6100 6320 7900 8728 9638 10910 12200 15800 17456 19276 21820 24095 24400 27275 31600 38552 43640 48190 54550 66551 77104 86189 87280 96380 109100 120475 133102 172378 192760 218200 240950 266204 332755 344756 385520 430945 436400 481900 532408 665510 689512 861890 963800 1064816 1331020 1379024 1663775 1723780 1927600 2154725 2662040 3327550 3447560 4309450 5257529 5324080 6655100 6895120 8618900 10515058 13310200 17237800 21030116 26287645 26620400 34475600 42060232 52575290 84120464 105150580 131438225 210301160 262876450 420602320 525752900 1051505800 2103011600