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3013101010101 = 3721357110912531
BaseRepresentation
bin101011110110001010110…
…100001011110010110101
3101200001100012010112201110
4223312022310023302311
5343331312324310401
610224111031345233
7430455311001600
oct53661264136265
911601305115643
103013101010101
11a61937a72556
12407b61522219
1318b198b0a0a0
14a5b98c37337
155359e9999d6
hex2bd8ad0bcb5

3013101010101 has 96 divisors (see below), whose sum is σ = 5048301113856. Its totient is φ = 1584464112000.

The previous prime is 3013101010037. The next prime is 3013101010111. The reversal of 3013101010101 is 1010101013103.

It is not a de Polignac number, because 3013101010101 - 26 = 3013101010037 is a prime.

3013101010101 is a modest number, since divided by 1010101 gives 30131 as remainder.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3013101010111) 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, 1190477206 + ... + 1190479736.

It is an arithmetic number, because the mean of its divisors is an integer number (52586469936).

Almost surely, 23013101010101 is an apocalyptic number.

It is an amenable number.

3013101010101 is a deficient number, since it is larger than the sum of its proper divisors (2035200103755).

3013101010101 is a wasteful number, since it uses less digits than its factorization.

3013101010101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4223 (or 4216 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 12.

Adding to 3013101010101 its reverse (1010101013103), we get a palindrome (4023202023204).

It can be divided in two parts, 30 and 13101010101, that added together give a palindrome (13101010131).

The spelling of 3013101010101 in words is "three trillion, thirteen billion, one hundred one million, ten thousand, one hundred one".

Divisors: 1 3 7 13 21 39 49 91 147 273 571 637 1091 1713 1911 2531 3273 3997 7423 7593 7637 11991 14183 17717 22269 22911 27979 32903 42549 51961 53151 53459 83937 98709 99281 124019 155883 160377 230321 297843 363727 372057 622961 690963 694967 1091181 1445201 1612247 1868883 2084901 2761321 4335603 4360727 4836741 8098493 8283963 10116407 13082181 18787613 19329247 24295479 30349221 30525089 35897173 56362839 56689451 57987741 70814849 91575267 107691519 131513291 135304729 170068353 212444547 251280211 394539873 396826157 405914187 753840633 920593037 1190478471 1576714291 1758961477 2761779111 4730142873 5276884431 11037000037 20497285783 33111000111 61491857349 77259000259 143481000481 231777000777 430443001443 1004367003367 3013101010101