Search a number
-
+
122000310291 = 32353317105239
BaseRepresentation
bin111000110011111001…
…0010000000000010011
3102122220102002220100210
41301213302100000103
53444324034412131
6132013550015203
711546165345556
oct1614762200023
9378812086323
10122000310291
1147815aa3922
121b7897a7503
13b67373ca22
145c94c8269d
1532908ca146
hex1c67c90013

122000310291 has 32 divisors (see below), whose sum is σ = 173489402880. Its totient is φ = 76087915904.

The previous prime is 122000310287. The next prime is 122000310293. The reversal of 122000310291 is 192013000221.

It is a cyclic number.

It is not a de Polignac number, because 122000310291 - 22 = 122000310287 is a prime.

It is a super-2 number, since 2×1220003102912 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (122000310293) 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, 1106650 + ... + 1211888.

It is an arithmetic number, because the mean of its divisors is an integer number (5421543840).

Almost surely, 2122000310291 is an apocalyptic number.

122000310291 is a deficient number, since it is larger than the sum of its proper divisors (51489092589).

122000310291 is a wasteful number, since it uses less digits than its factorization.

122000310291 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105635.

The product of its (nonzero) digits is 216, while the sum is 21.

The spelling of 122000310291 in words is "one hundred twenty-two billion, three hundred ten thousand, two hundred ninety-one".

Divisors: 1 3 23 53 69 159 317 951 1219 3657 7291 16801 21873 50403 105239 315717 386423 1159269 2420497 5577667 7261491 16733001 33360763 100082289 128286341 384859023 767297549 1768120439 2301892647 5304361317 40666770097 122000310291