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112356553221 = 35111710124481
BaseRepresentation
bin110100010100011111…
…0001111001000000101
3101202000022200021200000
41220220332033020011
53320101234200341
6123341010511513
711055204642003
oct1505076171005
9352008607600
10112356553221
1143717388460
1219937b95599
13a7977b31b3
14561c173a73
152dc8e3a8b6
hex1a28f8f205

112356553221 has 96 divisors (see below), whose sum is σ = 196337022336. Its totient is φ = 63452160000.

The previous prime is 112356553193. The next prime is 112356553241. The reversal of 112356553221 is 122355653211.

112356553221 is a `hidden beast` number, since 1 + 1 + 23 + 565 + 53 + 2 + 21 = 666.

It is not a de Polignac number, because 112356553221 - 210 = 112356552197 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112356553241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4577301 + ... + 4601781.

It is an arithmetic number, because the mean of its divisors is an integer number (2045177316).

Almost surely, 2112356553221 is an apocalyptic number.

112356553221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

112356553221 is a deficient number, since it is larger than the sum of its proper divisors (83980469115).

112356553221 is a wasteful number, since it uses less digits than its factorization.

112356553221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24625 (or 24613 counting only the distinct ones).

The product of its digits is 54000, while the sum is 36.

The spelling of 112356553221 in words is "one hundred twelve billion, three hundred fifty-six million, five hundred fifty-three thousand, two hundred twenty-one".

Divisors: 1 3 9 11 17 27 33 51 81 99 101 153 187 243 297 303 459 561 891 909 1111 1377 1683 1717 2673 2727 3333 4131 5049 5151 8181 9999 15147 15453 18887 24481 24543 29997 45441 46359 56661 73443 89991 139077 169983 220329 269291 269973 416177 417231 509949 660987 807873 1248531 1529847 1982961 2423619 2472581 3745593 4577947 4589541 5948883 7270857 7417743 11236779 13733841 21812571 22253229 27198391 33710337 41201523 42033877 65437713 66759687 81595173 101131011 123604569 126101631 200279061 244785519 370813707 378304893 462372647 600837183 734356557 1112441121 1134914679 1387117941 2203069671 3404744037 4161353823 6609209013 10214232111 12484061469 37452184407 112356553221