Search a number
-
+
11120000323201 = 711101109127103291
BaseRepresentation
bin1010000111010001001110…
…1010110100111010000001
31110101001122221102201011021
42201310103222310322001
52424142230040320301
635352242502545441
72225251655123110
oct241642352647201
943331587381137
1011120000323201
1135a7a69314940
1212b7169738281
136287c46c2563
142a62d4963c77
151443cb6c58a1
hexa1d13ab4e81

11120000323201 has 64 divisors (see below), whose sum is σ = 14241008517120. Its totient is φ = 8433421920000.

The previous prime is 11120000323199. The next prime is 11120000323213. The reversal of 11120000323201 is 10232300002111.

It is not a de Polignac number, because 11120000323201 - 21 = 11120000323199 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11120000323231) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 107605366 + ... + 107708656.

It is an arithmetic number, because the mean of its divisors is an integer number (222515758080).

Almost surely, 211120000323201 is an apocalyptic number.

11120000323201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11120000323201 is a deficient number, since it is larger than the sum of its proper divisors (3121008193919).

11120000323201 is a wasteful number, since it uses less digits than its factorization.

11120000323201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103646.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 11120000323201 its reverse (10232300002111), we get a palindrome (21352300325312).

The spelling of 11120000323201 in words is "eleven trillion, one hundred twenty billion, three hundred twenty-three thousand, two hundred one".

Divisors: 1 7 11 77 101 109 127 707 763 889 1111 1199 1397 7777 8393 9779 11009 12827 13843 77063 89789 96901 103291 121099 141097 152273 723037 847693 987679 1065911 1136201 1398143 7953407 9787001 10432391 11258719 13117957 15379573 73026737 78811033 91825699 107657011 114756301 123845909 144297527 803294107 866921363 1010082689 1137130619 1324913657 1429857313 7959914333 9274395599 10009001191 12508436809 14574050227 15728430443 87559057663 102018351589 110099013101 144415588613 1010909120291 1588571474743 11120000323201