Search a number
-
+
133130231223119 = 13191019535599709
BaseRepresentation
bin11110010001010011001100…
…001001000001001101001111
3122110101010101201022011022222
4132101103030021001031033
5114422201203143114434
61151051103420325555
740020225144122024
oct3621231411011517
9573333351264288
10133130231223119
1139468239911419
1212b216450a38bb
135939185b56810
1424c377514d54b
15105d0520c672e
hex7914cc24134f

133130231223119 has 32 divisors (see below), whose sum is σ = 152571042590400. Its totient is φ = 115147915545600.

The previous prime is 133130231223103. The next prime is 133130231223139. The reversal of 133130231223119 is 911322132031331.

It is a cyclic number.

It is not a de Polignac number, because 133130231223119 - 24 = 133130231223103 is a prime.

It is a super-2 number, since 2×1331302312231192 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133130231223139) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20974637 + ... + 26574345.

It is an arithmetic number, because the mean of its divisors is an integer number (4767845080950).

Almost surely, 2133130231223119 is an apocalyptic number.

133130231223119 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

133130231223119 is a deficient number, since it is larger than the sum of its proper divisors (19440811367281).

133130231223119 is a wasteful number, since it uses less digits than its factorization.

133130231223119 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5600795.

The product of its (nonzero) digits is 17496, while the sum is 35.

The spelling of 133130231223119 in words is "one hundred thirty-three trillion, one hundred thirty billion, two hundred thirty-one million, two hundred twenty-three thousand, one hundred nineteen".

Divisors: 1 13 19 101 247 953 1313 1919 12389 18107 24947 96253 235391 1251289 1828807 5599709 23774491 72796217 106394471 565570609 1383128123 5336522677 7352417917 10745841571 69374794801 101393930863 139695940423 538988790377 1318121101219 7006854274901 10240787017163 133130231223119