Search a number
-
+
135023283225 = 325237223257283
BaseRepresentation
bin111110111000000000…
…0111100110000011001
3110220112000010110202200
41331300000330300121
54203011430030400
6142010121320413
712520000653645
oct1756000746031
9426460113680
10135023283225
115229913a176
1222203036109
13c96a7c607c
14676c6abc25
1537a3d68b00
hex1f7003cc19

135023283225 has 144 divisors (see below), whose sum is σ = 251347579392. Its totient is φ = 69235015680.

The previous prime is 135023283163. The next prime is 135023283233. The reversal of 135023283225 is 522382320531.

135023283225 is a `hidden beast` number, since 1 + 3 + 5 + 0 + 2 + 328 + 322 + 5 = 666.

It is not a de Polignac number, because 135023283225 - 222 = 135019088921 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 135023283225.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 477113934 + ... + 477114216.

Almost surely, 2135023283225 is an apocalyptic number.

135023283225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

135023283225 is a deficient number, since it is larger than the sum of its proper divisors (116324296167).

135023283225 is a wasteful number, since it uses less digits than its factorization.

135023283225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816 (or 808 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 135023283225 in words is "one hundred thirty-five billion, twenty-three million, two hundred eighty-three thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 37 45 75 111 185 223 225 257 283 333 555 669 771 849 925 1115 1285 1415 1665 2007 2313 2547 2775 3345 3855 4245 5575 6425 7075 8251 8325 9509 10035 10471 11565 12735 16725 19275 21225 24753 28527 31413 41255 47545 50175 52355 57311 57825 63109 63675 72731 74259 85581 94239 123765 142635 157065 171933 189327 206275 218193 237725 261775 286555 315545 363655 371295 427905 471195 515799 567981 618825 654579 713175 785325 859665 946635 1090965 1432775 1577725 1818275 1856475 2120507 2139525 2335033 2355975 2578995 2691047 2839905 3272895 4298325 4733175 5454825 6361521 7005099 8073141 10602535 11675165 12894975 13455235 14199525 16219013 16364475 19084563 21015297 24219423 31807605 35025495 40365705 48657039 53012675 58375825 67276175 81095065 95422815 105076485 121097115 145971117 159038025 175127475 201828525 243285195 405475325 477114075 525382425 600103481 605485575 729855585 1216425975 1800310443 3000517405 3649277925 5400931329 9001552215 15002587025 27004656645 45007761075 135023283225