Search a number
-
+
3010312201113 = 3274326916272539
BaseRepresentation
bin101011110011100100100…
…101101110001110011001
3101122210010211111100222200
4223303210211232032121
5343310104410413423
610222530205440413
7430326225343260
oct53634445561631
911583124440880
103010312201113
11a60736839038
12407503570109
1318ab430ca859
14a59b26c75d7
1553489c20d43
hex2bce496e399

3010312201113 has 96 divisors (see below), whose sum is σ = 5109023462400. Its totient is φ = 1672240526208.

The previous prime is 3010312201069. The next prime is 3010312201159. The reversal of 3010312201113 is 3111022130103.

3010312201113 is a `hidden beast` number, since 30 + 10 + 312 + 201 + 113 = 666.

It is not a de Polignac number, because 3010312201113 - 210 = 3010312200089 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (3010312202113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1185627798 + ... + 1185630336.

It is an arithmetic number, because the mean of its divisors is an integer number (53218994400).

Almost surely, 23010312201113 is an apocalyptic number.

It is an amenable number.

3010312201113 is a deficient number, since it is larger than the sum of its proper divisors (2098711261287).

3010312201113 is a wasteful number, since it uses less digits than its factorization.

3010312201113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4491 (or 4488 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 3010312201113 its reverse (3111022130103), we get a palindrome (6121334331216).

The spelling of 3010312201113 in words is "three trillion, ten billion, three hundred twelve million, two hundred one thousand, one hundred thirteen".

Divisors: 1 3 7 9 21 43 63 129 269 301 387 807 903 1627 1883 2421 2539 2709 4881 5649 7617 11389 11567 14643 16947 17773 22851 34167 34701 53319 69961 80969 102501 104103 109177 159957 209883 242907 327531 437663 489727 629649 682991 728721 764239 982593 1312989 1469181 2048973 2292717 3063641 3938967 4130953 4407543 4780937 6146919 6878151 9190923 12392859 14342811 18819509 27572769 28916671 29368613 37178577 43028433 56458527 86750013 88105839 131736563 169375581 177630979 205580291 260250039 264317517 395209689 532892937 616740873 1111226357 1185629067 1243416853 1598678811 1850222619 3333679071 3730250559 7778584499 10001037213 11190751677 23335753497 47782733351 70007260491 143348200053 334479133457 430044600159 1003437400371 3010312201113