Search a number
-
+
111133442112 = 2637117517143
BaseRepresentation
bin110011110000000010…
…0011100000001000000
3101121212002011210122120
41213200010130001000
53310100130121422
6123015355204240
711012663446260
oct1474004340100
9347762153576
10111133442112
1143149a26a30
1219656446680
13a631289504
1455439497a0
152d5688745c
hex19e011c040

111133442112 has 112 divisors (see below), whose sum is σ = 366596078592. Its totient is φ = 28865825280.

The previous prime is 111133442093. The next prime is 111133442143. The reversal of 111133442112 is 211244331111.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×1111334421122 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3743788 + ... + 3773355.

Almost surely, 2111133442112 is an apocalyptic number.

111133442112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

111133442112 is an abundant number, since it is smaller than the sum of its proper divisors (255462636480).

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

111133442112 is a wasteful number, since it uses less digits than its factorization.

111133442112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7517176 (or 7517166 counting only the distinct ones).

The product of its digits is 576, while the sum is 24.

Adding to 111133442112 its reverse (211244331111), we get a palindrome (322377773223).

The spelling of 111133442112 in words is "one hundred eleven billion, one hundred thirty-three million, four hundred forty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 64 66 77 84 88 96 112 132 154 168 176 192 224 231 264 308 336 352 448 462 528 616 672 704 924 1056 1232 1344 1848 2112 2464 3696 4928 7392 14784 7517143 15034286 22551429 30068572 45102858 52620001 60137144 82688573 90205716 105240002 120274288 157860003 165377146 180411432 210480004 240548576 248065719 315720006 330754292 360822864 420960008 481097152 496131438 578820011 631440012 661508584 721645728 841920016 992262876 1157640022 1262880024 1323017168 1443291456 1683840032 1736460033 1984525752 2315280044 2525760048 2646034336 3367680064 3472920066 3969051504 4630560088 5051520096 5292068672 6945840132 7938103008 9261120176 10103040192 13891680264 15876206016 18522240352 27783360528 37044480704 55566721056 111133442112