Search a number
-
+
13022322122301 = 33110314927493319
BaseRepresentation
bin1011110101111111111011…
…1000100101111000111101
31201002220220000111211110220
42331133332320211320331
53201324203430403201
643410212221051553
72512555165455222
oct275377670457075
951086800454426
1013022322122301
11417081038a658
1215639913b6bb9
13735ccc4825cb
143303d8897949
15178b191e4036
hexbd7fee25e3d

13022322122301 has 64 divisors (see below), whose sum is σ = 18230784000000. Its totient is φ = 8258596496640.

The previous prime is 13022322122297. The next prime is 13022322122323. The reversal of 13022322122301 is 10322122322031.

It is not a de Polignac number, because 13022322122301 - 22 = 13022322122297 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13022322122351) 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, 3923566320 + ... + 3923569638.

It is an arithmetic number, because the mean of its divisors is an integer number (284856000000).

Almost surely, 213022322122301 is an apocalyptic number.

It is an amenable number.

13022322122301 is a deficient number, since it is larger than the sum of its proper divisors (5208461877699).

13022322122301 is a wasteful number, since it uses less digits than its factorization.

13022322122301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6354.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 13022322122301 its reverse (10322122322031), we get a palindrome (23344444444332).

The spelling of 13022322122301 in words is "thirteen trillion, twenty-two billion, three hundred twenty-two million, one hundred twenty-two thousand, three hundred one".

Divisors: 1 3 31 93 103 149 309 447 2749 3193 3319 4619 8247 9579 9957 13857 15347 46041 85219 102889 255657 283147 308667 341857 409601 475757 494531 849441 1025571 1228803 1427271 1483593 8777557 9123931 10597567 12697631 15330461 26332671 27371793 31792701 38092893 42188903 45991383 50936693 126566709 152810079 282841861 848525583 939764893 1307855993 1359465719 1579037483 2819294679 3923567979 4078397157 4737112449 29132711683 42143437289 87398135049 126430311867 140024969057 420074907171 4340774040767 13022322122301