Search a number
-
+
3012320201121 = 3271123316096469
BaseRepresentation
bin101011110101011100010…
…001101000100110100001
3101122222022202220100011100
4223311130101220212201
5343323212432413441
610223501340105013
7430430050144560
oct53653421504641
911588282810140
103012320201121
11a6157724a180
12407983b35169
1318b0a311633a
14a5b23265bd7
1553556163cb6
hex2bd5c4689a1

3012320201121 has 96 divisors (see below), whose sum is σ = 5843247022080. Its totient is φ = 1448520796800.

The previous prime is 3012320201089. The next prime is 3012320201161. The reversal of 3012320201121 is 1211020232103.

3012320201121 is a `hidden beast` number, since 301 + 2 + 320 + 20 + 1 + 1 + 21 = 666.

It is not a de Polignac number, because 3012320201121 - 25 = 3012320201089 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3012320201094 and 3012320201103.

It is not an unprimeable number, because it can be changed into a prime (3012320201161) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2554126 + ... + 3542343.

It is an arithmetic number, because the mean of its divisors is an integer number (60867156480).

Almost surely, 23012320201121 is an apocalyptic number.

3012320201121 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

3012320201121 is a deficient number, since it is larger than the sum of its proper divisors (2830926820959).

3012320201121 is a wasteful number, since it uses less digits than its factorization.

3012320201121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6096547 (or 6096544 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 3012320201121 its reverse (1211020232103), we get a palindrome (4223340433224).

The spelling of 3012320201121 in words is "three trillion, twelve billion, three hundred twenty million, two hundred one thousand, one hundred twenty-one".

Divisors: 1 3 7 9 11 21 23 31 33 63 69 77 93 99 161 207 217 231 253 279 341 483 651 693 713 759 1023 1449 1771 1953 2139 2277 2387 3069 4991 5313 6417 7161 7843 14973 15939 21483 23529 44919 54901 70587 164703 494109 6096469 18289407 42675283 54868221 67061159 128025849 140218787 188990539 201183477 384077547 420656361 469428113 566971617 603550431 981531509 1261969083 1322933773 1408284339 1542406657 1700914851 2078895929 2944594527 3968801319 4224853017 4346782397 4627219971 6236687787 8833783581 10796846599 11906403957 13040347191 13881659913 14552271503 18710063361 30427476779 32390539797 39121041573 43656814509 47814606367 91282430337 97171619391 130970443527 143443819101 273847291011 334702244569 430331457303 1004106733707 3012320201121