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13114144120210 = 2572199911421401
BaseRepresentation
bin1011111011010101111111…
…1001101101110110010010
31201102200220020210121212021
42332311133321231312102
53204330231343321320
643520315445122054
72522315500536100
oct276653771556622
951380806717767
1013114144120210
1141a674a51a741
1215797383b932a
137418738c7553
14334a29756c70
1517b1e04c1daa
hexbed5fe6dd92

13114144120210 has 96 divisors (see below), whose sum is σ = 28933831687680. Its totient is φ = 4255330464000.

The previous prime is 13114144120157. The next prime is 13114144120211. The reversal of 13114144120210 is 1202144141131.

It is not an unprimeable number, because it can be changed into a prime (13114144120211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8515510 + ... + 9936910.

It is an arithmetic number, because the mean of its divisors is an integer number (301394080080).

Almost surely, 213114144120210 is an apocalyptic number.

13114144120210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13114144120210 is an abundant number, since it is smaller than the sum of its proper divisors (15819687567470).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13114144120210 is a wasteful number, since it uses less digits than its factorization.

13114144120210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1422432 (or 1422425 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

Adding to 13114144120210 its reverse (1202144141131), we get a palindrome (14316288261341).

The spelling of 13114144120210 in words is "thirteen trillion, one hundred fourteen billion, one hundred forty-four million, one hundred twenty thousand, two hundred ten".

Divisors: 1 2 5 7 10 14 19 35 38 49 70 95 98 133 190 245 266 490 665 931 991 1330 1862 1982 4655 4955 6937 9310 9910 13874 18829 34685 37658 48559 69370 94145 97118 131803 188290 242795 263606 485590 659015 922621 1318030 1421401 1845242 2842802 4613105 7107005 9226210 9949807 14214010 19899614 27006619 49749035 54013238 69648649 99498070 135033095 139297298 189046333 270066190 348243245 378092666 696486490 945231665 1323324331 1408608391 1890463330 2646648662 2817216782 6616621655 7043041955 9860258737 13233243310 14086083910 19720517474 26763559429 49301293685 53527118858 69021811159 98602587370 133817797145 138043622318 187344916003 267635594290 345109055795 374689832006 690218111590 936724580015 1311414412021 1873449160030 2622828824042 6557072060105 13114144120210