Search a number
-
+
113585401188 = 223272292220373
BaseRepresentation
bin110100111001000110…
…1111010110101100100
3101212011221222020011200
41221302031322311210
53330110330314223
6124102545202500
711130515660100
oct1516215726544
9355157866150
10113585401188
1144197aa8096
121a01b630430
13a93226817c
1456d7452900
152e4bc73a43
hex1a7237ad64

113585401188 has 108 divisors (see below), whose sum is σ = 345512398140. Its totient is φ = 31333889664.

The previous prime is 113585401157. The next prime is 113585401219. The reversal of 113585401188 is 881104585311.

113585401188 is a `hidden beast` number, since 1 + 13 + 5 + 8 + 540 + 11 + 88 = 666.

It is an interprime number because it is at equal distance from previous prime (113585401157) and next prime (113585401219).

It can be written as a sum of positive squares in 2 ways, for example, as 58444029504 + 55141371684 = 241752^2 + 234822^2 .

It is a super-2 number, since 2×1135854011882 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1059031 + ... + 1161342.

Almost surely, 2113585401188 is an apocalyptic number.

113585401188 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

113585401188 is an abundant number, since it is smaller than the sum of its proper divisors (231926996952).

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

113585401188 is a wasteful number, since it uses less digits than its factorization.

113585401188 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2220426 (or 2220414 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 45.

Adding to 113585401188 its reverse (881104585311), we get a palindrome (994689986499).

The spelling of 113585401188 in words is "one hundred thirteen billion, five hundred eighty-five million, four hundred one thousand, one hundred eighty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 29 36 42 49 58 63 84 87 98 116 126 147 174 196 203 252 261 294 348 406 441 522 588 609 812 882 1044 1218 1421 1764 1827 2436 2842 3654 4263 5684 7308 8526 12789 17052 25578 51156 2220373 4440746 6661119 8881492 13322238 15542611 19983357 26644476 31085222 39966714 46627833 62170444 64390817 79933428 93255666 108798277 128781634 139883499 186511332 193172451 217596554 257563268 279766998 326394831 386344902 435193108 450735719 559533996 579517353 652789662 772689804 901471438 979184493 1159034706 1305579324 1352207157 1802942876 1958368986 2318069412 2704414314 3155150033 3916737972 4056621471 5408828628 6310300066 8113242942 9465450099 12620600132 16226485884 18930900198 28396350297 37861800396 56792700594 113585401188