Search a number
-
+
11200012101201 = 3711212734706443
BaseRepresentation
bin1010001011111011010010…
…1111100010011001010001
31110122201012002201011112110
42202332310233202121101
52432000111044214301
635453114201015533
72234113512040650
oct242766457423121
943581162634473
1011200012101201
113628997935a00
12130a7794845a9
136332060bc2b1
142aa1250c7197
15146510c1e0d6
hexa2fb4be2651

11200012101201 has 48 divisors (see below), whose sum is σ = 18906960084992. Its totient is φ = 5772375433440.

The previous prime is 11200012101163. The next prime is 11200012101203. The reversal of 11200012101201 is 10210121000211.

It is not a de Polignac number, because 11200012101201 - 219 = 11200011576913 is a prime.

It is a super-4 number, since 4×112000121012014 (a number of 53 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (11200012101203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17030515 + ... + 17675928.

Almost surely, 211200012101201 is an apocalyptic number.

11200012101201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11200012101201 is a deficient number, since it is larger than the sum of its proper divisors (7706947983791).

11200012101201 is a wasteful number, since it uses less digits than its factorization.

11200012101201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34706602 (or 34706591 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11200012101201 its reverse (10210121000211), we get a palindrome (21410133101412).

The spelling of 11200012101201 in words is "eleven trillion, two hundred billion, twelve million, one hundred one thousand, two hundred one".

Divisors: 1 3 7 11 21 33 77 121 127 231 363 381 847 889 1397 2541 2667 4191 9779 15367 29337 46101 107569 322707 34706443 104119329 242945101 381770873 728835303 1145312619 2672396111 4199479603 4407718261 8017188333 12598438809 13223154783 29396357221 30854027827 48484900871 88189071663 92562083481 145454702613 339394306097 533333909581 1018182918291 1600001728743 3733337367067 11200012101201