Search a number
-
+
113535530052035 = 574131938998429
BaseRepresentation
bin11001110100001010001100…
…111100000010100111000011
3112212222220001022002102102212
4121310022030330002213003
5104340131231143131120
61041245300310532335
732625446163230000
oct3164121474024703
9485886038072385
10113535530052035
11331a3169938333
1210897b433670ab
134b4747bc1a750
142007212b028a7
15d1d4bde1c6c5
hex67428cf029c3

113535530052035 has 160 divisors (see below), whose sum is σ = 180640232136000. Its totient is φ = 67906211079168.

The previous prime is 113535530051989. The next prime is 113535530052037. The reversal of 113535530052035 is 530250035535311.

It is a happy number.

It is not a de Polignac number, because 113535530052035 - 212 = 113535530047939 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 113535530051983 and 113535530052001.

It is not an unprimeable number, because it can be changed into a prime (113535530052037) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1153427201 + ... + 1153525629.

It is an arithmetic number, because the mean of its divisors is an integer number (1129001450850).

Almost surely, 2113535530052035 is an apocalyptic number.

113535530052035 is a deficient number, since it is larger than the sum of its proper divisors (67104702083965).

113535530052035 is an equidigital number, since it uses as much as digits as its factorization.

113535530052035 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98883 (or 98862 counting only the distinct ones).

The product of its (nonzero) digits is 506250, while the sum is 41.

Adding to 113535530052035 its reverse (530250035535311), we get a palindrome (643785565587346).

The spelling of 113535530052035 in words is "one hundred thirteen trillion, five hundred thirty-five billion, five hundred thirty million, fifty-two thousand, thirty-five".

Divisors: 1 5 7 13 19 35 49 65 91 95 133 245 247 343 389 455 637 665 931 1235 1715 1729 1945 2401 2723 3185 4459 4655 5057 6517 7391 8645 12005 12103 13615 19061 22295 25285 31213 32585 35399 36955 45619 51737 60515 84721 95305 96083 98429 133427 156065 176995 228095 247793 258685 362159 423605 480415 492145 593047 667135 672581 689003 933989 1238965 1279577 1734551 1810795 1870151 2535113 2965235 3362905 3445015 4669945 4708067 4823021 6397885 8672755 8957039 9350755 12141857 12675565 13091057 17745791 23540335 24115105 24311963 32956469 33761147 38288881 44785195 60709285 62699273 65455285 88728955 91637399 121559815 164782345 168805735 170183741 191444405 230695283 236328029 268022167 313496365 438894911 458186995 497755453 641461793 727488739 850918705 1153476415 1181640145 1191286187 1340110835 1876155169 2194474555 2488777265 3072264377 3207308965 3484288171 3637443695 4490232551 5092421173 5956430935 8339003309 9380775845 9457353607 13133086183 15361321885 17421440855 22451162755 24390017197 25462105865 35646948211 41695016545 47286768035 58373023163 65665430915 66201475249 91931603281 121950085985 170730120379 178234741055 249528637477 291865115815 331007376245 459658016405 463410326743 853650601895 1195110842653 1247643187385 1746700462339 2317051633715 3243872287201 5975554213265 8733502311695 16219361436005 22707106010407 113535530052035