Search a number
-
+
11101203220000 = 2554601923561
BaseRepresentation
bin1010000110001011001101…
…0001100100011000100000
31110022021010221100221002211
42201202303101210120200
52423340231011020000
635335453343451504
72224015110311005
oct241426321443040
943267127327084
1011101203220000
11359aaa28a0003
1212b35a25b6b94
13626aba2b479a
142a54303238ac
15143b7b3687ba
hexa18b3464620

11101203220000 has 120 divisors (see below), whose sum is σ = 27356096693772. Its totient is φ = 4433088000000.

The previous prime is 11101203219971. The next prime is 11101203220039. The reversal of 11101203220000 is 2230210111.

It can be written as a sum of positive squares in 10 ways, for example, as 1137609961744 + 9963593258256 = 1066588^2 + 3156516^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 11558220 + ... + 12481780.

Almost surely, 211101203220000 is an apocalyptic number.

11101203220000 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 11101203220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13678048346886).

11101203220000 is an abundant number, since it is smaller than the sum of its proper divisors (16254893473772).

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

11101203220000 is an frugal number, since it uses more digits than its factorization.

11101203220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 924192 (or 924169 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 11101203220000 its reverse (2230210111), we get a palindrome (11103433430111).

The spelling of 11101203220000 in words is "eleven trillion, one hundred one billion, two hundred three million, two hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 601 625 800 1000 1202 1250 2000 2404 2500 3005 4000 4808 5000 6010 9616 10000 12020 15025 19232 20000 24040 30050 48080 60100 75125 96160 120200 150250 240400 300500 375625 480800 601000 751250 923561 1202000 1502500 1847122 2404000 3005000 3694244 4617805 6010000 7388488 9235610 12020000 14776976 18471220 23089025 29553952 36942440 46178050 73884880 92356100 115445125 147769760 184712200 230890250 369424400 461780500 555060161 577225625 738848800 923561000 1110120322 1154451250 1847122000 2220240644 2308902500 2775300805 3694244000 4440481288 4617805000 5550601610 8880962576 9235610000 11101203220 13876504025 17761925152 18471220000 22202406440 27753008050 44404812880 55506016100 69382520125 88809625760 111012032200 138765040250 222024064400 277530080500 346912600625 444048128800 555060161000 693825201250 1110120322000 1387650402500 2220240644000 2775300805000 5550601610000 11101203220000