Search a number
-
+
136135372003 = 173179109131229
BaseRepresentation
bin111111011001001001…
…1001110110011100011
3111000101111201102202221
41332302103032303203
54212301123401003
6142312325251511
712556363366201
oct1766223166343
9430344642687
10136135372003
1152809960a04
1222473563b97
13cab701a277
146836276071
15381b7db7bd
hex1fb24cece3

136135372003 has 64 divisors (see below), whose sum is σ = 153888768000. Its totient is φ = 119849932800.

The previous prime is 136135371989. The next prime is 136135372031. The reversal of 136135372003 is 300273531631.

It is a cyclic number.

It is not a de Polignac number, because 136135372003 - 225 = 136101817571 is a prime.

It is a super-3 number, since 3×1361353720033 (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 136135372003.

It is not an unprimeable number, because it can be changed into a prime (136135342003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 594477493 + ... + 594477721.

It is an arithmetic number, because the mean of its divisors is an integer number (2404512000).

Almost surely, 2136135372003 is an apocalyptic number.

136135372003 is a deficient number, since it is larger than the sum of its proper divisors (17753395997).

136135372003 is a wasteful number, since it uses less digits than its factorization.

136135372003 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 596.

The product of its (nonzero) digits is 34020, while the sum is 34.

The spelling of 136135372003 in words is "one hundred thirty-six billion, one hundred thirty-five million, three hundred seventy-two thousand, three".

Divisors: 1 17 31 79 109 131 229 527 1343 1853 2227 2449 3379 3893 4061 7099 8611 10349 14279 18091 24961 29999 41633 57443 69037 120683 146387 175933 242743 266941 307547 320819 424337 442649 509983 560821 773791 929969 1128041 1971919 2369921 3269891 4537997 5453923 7525033 9533957 13154447 15809473 19176697 33522623 34969271 40288657 55588147 61129489 73467551 101366621 258321389 594477607 1039201313 1248948367 1723232557 4391463613 8007963059 136135372003