Search a number
-
+
22134776067121 = 192193212832
BaseRepresentation
bin1010000100001101001110…
…11101101111010000110001
32220101001201121020221122111
411002012213131233100301
510400124010133121441
6115024324210005321
74443120246135154
oct502064735572061
986331647227574
1022134776067121
117064340045963
122595a4b876841
13c473ba064943
14567486625c9b
15285b9a148081
hex1421a776f431

22134776067121 has 27 divisors (see below), whose sum is σ = 23501065738059. Its totient is φ = 20844876448512.

The previous prime is 22134776067101. The next prime is 22134776067139. The reversal of 22134776067121 is 12176067743122.

The square root of 22134776067121 is 4704761.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 5362999114225 + 16771776952896 = 2315815^2 + 4095336^2 .

It is a de Polignac number, because none of the positive numbers 2k-22134776067121 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22134776067101) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 17252357946 + ... + 17252359228.

Almost surely, 222134776067121 is an apocalyptic number.

22134776067121 is the 4704761-st square number.

22134776067121 is the 2352381-st centered octagonal number.

It is an amenable number.

22134776067121 is a deficient number, since it is larger than the sum of its proper divisors (1366289670938).

22134776067121 is an frugal number, since it uses more digits than its factorization.

22134776067121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2990 (or 1495 counting only the distinct ones).

The product of its (nonzero) digits is 1185408, while the sum is 49.

The spelling of 22134776067121 in words is "twenty-two trillion, one hundred thirty-four billion, seven hundred seventy-six million, sixty-seven thousand, one hundred twenty-one".

Divisors: 1 19 193 361 1283 3667 24377 37249 69673 247619 463163 707731 1646089 4704761 13446889 31275691 47790467 89390459 317695177 594238129 908018873 6036208363 17252358587 61315169161 114687958897 1164988214059 22134776067121