Search a number
-
+
1245201100 = 22521113194583
BaseRepresentation
bin100101000111000…
…0100001011001100
310012210001202210021
41022032010023030
510022232413400
6323320551524
742600014623
oct11216041314
93183052707
101245201100
1158997a020
122a90225a4
1316ac8c4b0
14bb5386ba
15744b871a
hex4a3842cc

1245201100 has 144 divisors (see below), whose sum is σ = 3342286080. Its totient is φ = 395884800.

The previous prime is 1245201079. The next prime is 1245201131. The reversal of 1245201100 is 11025421.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 269409 + ... + 273991.

It is an arithmetic number, because the mean of its divisors is an integer number (23210320).

Almost surely, 21245201100 is an apocalyptic number.

1245201100 is a gapful number since it is divisible by the number (10) 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 1245201100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1671143040).

1245201100 is an abundant number, since it is smaller than the sum of its proper divisors (2097084980).

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

1245201100 is a wasteful number, since it uses less digits than its factorization.

1245201100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4640 (or 4633 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 1245201100 is about 35287.4071022511. The cubic root of 1245201100 is about 1075.8370549218.

Adding to 1245201100 its reverse (11025421), we get a palindrome (1256226521).

The spelling of 1245201100 in words is "one billion, two hundred forty-five million, two hundred one thousand, one hundred".

Divisors: 1 2 4 5 10 11 13 19 20 22 25 26 38 44 50 52 55 65 76 95 100 110 130 143 190 209 220 247 260 275 286 325 380 418 475 494 550 572 650 715 836 950 988 1045 1100 1235 1300 1430 1900 2090 2470 2717 2860 3575 4180 4583 4940 5225 5434 6175 7150 9166 10450 10868 12350 13585 14300 18332 20900 22915 24700 27170 45830 50413 54340 59579 67925 87077 91660 100826 114575 119158 135850 174154 201652 229150 238316 252065 271700 297895 348308 435385 458300 504130 595790 655369 870770 957847 1008260 1132001 1191580 1260325 1310738 1489475 1741540 1915694 2176925 2264002 2520650 2621476 2978950 3276845 3831388 4353850 4528004 4789235 5041300 5660005 5957900 6553690 8707700 9578470 11320010 12452011 13107380 16384225 19156940 22640020 23946175 24904022 28300025 32768450 47892350 49808044 56600050 62260055 65536900 95784700 113200100 124520110 249040220 311300275 622600550 1245201100