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13012113030301 = 72112913920632903
BaseRepresentation
bin1011110101011001111001…
…0111111111110010011101
31201001221112112022020001101
42331112132113333302131
53201142301413432201
643401403204513101
72512044201560500
oct275263627776235
951057475266041
1013012113030301
114167451642740
121561a023ab791
13735063376678
1432db0aa67137
1517871ccd2d01
hexbd59e5ffc9d

13012113030301 has 96 divisors (see below), whose sum is σ = 17219149516800. Its totient is φ = 9711190581120.

The previous prime is 13012113030227. The next prime is 13012113030341. The reversal of 13012113030301 is 10303031121031.

It is not a de Polignac number, because 13012113030301 - 235 = 12977753291933 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13012113030341) 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, 4482297216 + ... + 4482300118.

It is an arithmetic number, because the mean of its divisors is an integer number (179366140800).

Almost surely, 213012113030301 is an apocalyptic number.

13012113030301 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13012113030301 is a deficient number, since it is larger than the sum of its proper divisors (4207036486499).

13012113030301 is a wasteful number, since it uses less digits than its factorization.

13012113030301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5159 (or 5152 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 13012113030301 its reverse (10303031121031), we get a palindrome (23315144151332).

The spelling of 13012113030301 in words is "thirteen trillion, twelve billion, one hundred thirteen million, thirty thousand, three hundred one".

Divisors: 1 7 11 29 49 77 139 203 319 539 973 1421 1529 2063 2233 2903 4031 6811 10703 14441 15631 20321 22693 28217 31933 44341 59827 74921 84187 101087 142247 158851 197519 223531 286757 310387 403517 418789 589309 658097 926057 1111957 1564717 2007299 2172709 2824619 2931523 3154327 4125163 4438687 4606679 5988889 6482399 8315953 11701993 14051093 19772333 22080289 31070809 32246753 41922223 45376793 58211671 65877779 81913951 91475483 128721923 154562023 173677781 217495663 293455561 407481697 461144453 573397657 640328381 832455571 901053461 1215744467 1910455591 3228011171 4482298667 5827188997 6307374227 8510211269 9157011281 13373189137 24141211559 40790322979 64099078967 93612323959 168988480913 265553327149 448693552769 1182919366391 1858873290043 13012113030301