Search a number
-
+
11010100000 = 2555234787
BaseRepresentation
bin10100100000100000…
…01100101100100000
31001102022110000211111
422100100030230200
5140022041200000
65020304353104
7536561206624
oct122020145440
931368400744
1011010100000
11473aa070a9
122173315794
131066052893
1476637d184
154468d6cba
hex29040cb20

11010100000 has 144 divisors (see below), whose sum is σ = 28277315136. Its totient is φ = 4211680000.

The previous prime is 11010099973. The next prime is 11010100019. The reversal of 11010100000 is 101011.

It is a Harshad number since it is a multiple of its sum of digits (4).

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, 2297607 + ... + 2302393.

It is an arithmetic number, because the mean of its divisors is an integer number (196370244).

Almost surely, 211010100000 is an apocalyptic number.

11010100000 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 11010100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14138657568).

11010100000 is an abundant number, since it is smaller than the sum of its proper divisors (17267215136).

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

11010100000 is an frugal number, since it uses more digits than its factorization.

11010100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4845 (or 4817 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 4.

Adding to 11010100000 its reverse (101011), we get a palindrome (11010201011).

The spelling of 11010100000 in words is "eleven billion, ten million, one hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 23 25 32 40 46 50 80 92 100 115 125 160 184 200 230 250 368 400 460 500 575 625 736 800 920 1000 1150 1250 1840 2000 2300 2500 2875 3125 3680 4000 4600 4787 5000 5750 6250 9200 9574 10000 11500 12500 14375 18400 19148 20000 23000 23935 25000 28750 38296 46000 47870 50000 57500 71875 76592 92000 95740 100000 110101 115000 119675 143750 153184 191480 220202 230000 239350 287500 382960 440404 460000 478700 550505 575000 598375 765920 880808 957400 1101010 1150000 1196750 1761616 1914800 2202020 2300000 2393500 2752525 2991875 3523232 3829600 4404040 4787000 5505050 5983750 8808080 9574000 11010100 11967500 13762625 14959375 17616160 19148000 22020200 23935000 27525250 29918750 44040400 47870000 55050500 59837500 68813125 88080800 95740000 110101000 119675000 137626250 220202000 239350000 275252500 344065625 440404000 478700000 550505000 688131250 1101010000 1376262500 2202020000 2752525000 5505050000 11010100000