Search a number
-
+
11113331300010 = 23252910939064049
BaseRepresentation
bin1010000110111000011000…
…1010100001011010101010
31110100102110011111020012100
42201232012022201122222
52424040100303100020
635345221030354230
72224624465300602
oct241560612413252
943312404436170
1011113331300010
1135a5156882025
1212b5a081bb976
13627ca0b41ba4
142a5c60d61c02
1514413ae88a90
hexa1b862a16aa

11113331300010 has 96 divisors (see below), whose sum is σ = 30165259410000. Its totient is φ = 2835112347648.

The previous prime is 11113331300003. The next prime is 11113331300017. The reversal of 11113331300010 is 1000313331111.

11113331300010 is a `hidden beast` number, since 1 + 11 + 13 + 331 + 300 + 0 + 10 = 666.

It is an interprime number because it is at equal distance from previous prime (11113331300003) and next prime (11113331300017).

It can be written as a sum of positive squares in 8 ways, for example, as 7463599977681 + 3649731322329 = 2731959^2 + 1910427^2 .

It is a super-2 number, since 2×111133313000102 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (11113331300017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19247535 + ... + 19816514.

Almost surely, 211113331300010 is an apocalyptic number.

11113331300010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11113331300010 is an abundant number, since it is smaller than the sum of its proper divisors (19051928109990).

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

11113331300010 is a wasteful number, since it uses less digits than its factorization.

11113331300010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39064200 (or 39064197 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

Adding to 11113331300010 its reverse (1000313331111), we get a palindrome (12113644631121).

The spelling of 11113331300010 in words is "eleven trillion, one hundred thirteen billion, three hundred thirty-one million, three hundred thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 45 58 87 90 109 145 174 218 261 290 327 435 522 545 654 870 981 1090 1305 1635 1962 2610 3161 3270 4905 6322 9483 9810 15805 18966 28449 31610 47415 56898 94830 142245 284490 39064049 78128098 117192147 195320245 234384294 351576441 390640490 585960735 703152882 1132857421 1171921470 1757882205 2265714842 3398572263 3515764410 4257981341 5664287105 6797144526 8515962682 10195716789 11328574210 12773944023 16992861315 20391433578 21289906705 25547888046 33985722630 38321832069 42579813410 50978583945 63869720115 76643664138 101957167890 123481458889 127739440230 191609160345 246962917778 370444376667 383218320690 617407294445 740888753334 1111333130001 1234814588890 1852221883335 2222666260002 3704443766670 5556665650005 11113331300010