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11104432223130 = 23252926571601269
BaseRepresentation
bin1010000110010111001110…
…1111001111001110011010
31110022120110222022021200100
42201211303233033032122
52423413334122120010
635341150012320230
72224161116345211
oct241456357171632
943276428267610
1011104432223130
1135a13aa552934
1212b4143a73076
136271b326961c
142a56590dc078
15143cb9a952c0
hexa1973bcf39a

11104432223130 has 96 divisors (see below), whose sum is σ = 29878353133200. Its totient is φ = 2857994366976.

The previous prime is 11104432223111. The next prime is 11104432223141. The reversal of 11104432223130 is 3132223440111.

11104432223130 is a `hidden beast` number, since 1 + 1 + 1 + 0 + 4 + 432 + 223 + 1 + 3 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 8526394160001 + 2578038063129 = 2919999^2 + 1605627^2 .

It is a junction number, because it is equal to n+sod(n) for n = 11104432223094 and 11104432223103.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6134136 + ... + 7735404.

Almost surely, 211104432223130 is an apocalyptic number.

11104432223130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11104432223130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14939176566600).

11104432223130 is an abundant number, since it is smaller than the sum of its proper divisors (18773920910070).

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

11104432223130 is a wasteful number, since it uses less digits than its factorization.

11104432223130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1603968 (or 1603965 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 11104432223130 its reverse (3132223440111), we get a palindrome (14236655663241).

The spelling of 11104432223130 in words is "eleven trillion, one hundred four billion, four hundred thirty-two million, two hundred twenty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 45 58 87 90 145 174 261 290 435 522 870 1305 2610 2657 5314 7971 13285 15942 23913 26570 39855 47826 77053 79710 119565 154106 231159 239130 385265 462318 693477 770530 1155795 1386954 1601269 2311590 3202538 3467385 4803807 6934770 8006345 9607614 14411421 16012690 24019035 28822842 46436801 48038070 72057105 92873602 139310403 144114210 232184005 278620806 417931209 464368010 696552015 835862418 1393104030 2089656045 4179312090 4254571733 8509143466 12763715199 21272858665 25527430398 38291145597 42545717330 63818575995 76582291194 123382580257 127637151990 191455727985 246765160514 370147740771 382911455970 616912901285 740295481542 1110443222313 1233825802570 1850738703855 2220886444626 3701477407710 5552216111565 11104432223130