Search a number
-
+
420005133105 = 35437111381163
BaseRepresentation
bin1100001110010100100…
…00011011101100110001
31111011002212202102112120
412013022100123230301
523340132303224410
6520540411344453
742226055504145
oct6071220335461
91434085672476
10420005133105
11152139a47a58
1269496a52129
13307b60c24cc
1416485023225
15add2d2a570
hex61ca41bb31

420005133105 has 64 divisors (see below), whose sum is σ = 703500982272. Its totient is φ = 213800186880.

The previous prime is 420005133101. The next prime is 420005133203. The reversal of 420005133105 is 501331500024.

It is not a de Polignac number, because 420005133105 - 22 = 420005133101 is a prime.

It is not an unprimeable number, because it can be changed into a prime (420005133101) 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, 5134254 + ... + 5215416.

It is an arithmetic number, because the mean of its divisors is an integer number (10992202848).

Almost surely, 2420005133105 is an apocalyptic number.

It is an amenable number.

420005133105 is a deficient number, since it is larger than the sum of its proper divisors (283495849167).

420005133105 is a wasteful number, since it uses less digits than its factorization.

420005133105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81398.

The product of its (nonzero) digits is 1800, while the sum is 24.

Adding to 420005133105 its reverse (501331500024), we get a palindrome (921336633129).

The spelling of 420005133105 in words is "four hundred twenty billion, five million, one hundred thirty-three thousand, one hundred five".

Divisors: 1 3 5 15 43 71 113 129 213 215 339 355 565 645 1065 1695 3053 4859 8023 9159 14577 15265 24069 24295 40115 45795 72885 81163 120345 243489 344989 405815 1034967 1217445 1724945 3490009 5174835 5762573 9171419 10470027 17287719 17450045 27514257 28812865 45857095 52350135 86438595 137571285 247790639 394371017 651170749 743371917 1183113051 1238953195 1953512247 1971855085 3255853745 3716859585 5915565255 9767561235 28000342207 84001026621 140001711035 420005133105