Search a number
-
+
111132133223111 = 72111321220012221
BaseRepresentation
bin11001010001001011110111…
…010100101110101011000111
3112120111010110102221102012022
4121101023313110232223013
5104031242102101114421
61032205221443513355
732260013601241400
oct3121136724565307
9476433412842168
10111132133223111
1132456966aa5320
121056a19a68885b
134a0193b392700
141d62b76caa9a7
15ccac062187ab
hex6512f752eac7

111132133223111 has 36 divisors (see below), whose sum is σ = 152711369852184. Its totient is φ = 79935200654400.

The previous prime is 111132133223101. The next prime is 111132133223129. The reversal of 111132133223111 is 111322331231111.

It is not a de Polignac number, because 111132133223111 - 218 = 111132132960967 is a prime.

It is a super-3 number, since 3×1111321332231113 (a number of 43 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111132133223101) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 609915020 + ... + 610097201.

It is an arithmetic number, because the mean of its divisors is an integer number (4241982495894).

Almost surely, 2111132133223111 is an apocalyptic number.

111132133223111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

111132133223111 is a deficient number, since it is larger than the sum of its proper divisors (41579236629073).

111132133223111 is a wasteful number, since it uses less digits than its factorization.

111132133223111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1220012272 (or 1220012252 counting only the distinct ones).

The product of its digits is 648, while the sum is 26.

Adding to 111132133223111 its reverse (111322331231111), we get a palindrome (222454464454222).

The spelling of 111132133223111 in words is "one hundred eleven trillion, one hundred thirty-two billion, one hundred thirty-three million, two hundred twenty-three thousand, one hundred eleven".

Divisors: 1 7 11 13 49 77 91 143 169 539 637 1001 1183 1859 7007 8281 13013 91091 1220012221 8540085547 13420134431 15860158873 59780598829 93940941017 111021112111 174461747603 206182065349 657586587119 777147784777 1221232233221 1443274457443 2268002718839 8548625632547 10102921202101 15876019031873 111132133223111