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13124213105201 = 11319714922711731
BaseRepresentation
bin1011111011111011100000…
…0011110110001000110001
31201110122212222101001121022
42332332320003312020301
53210011342023331301
643525102534305225
72523123143516342
oct276767003661061
951418788331538
1013124213105201
1141aaa47172140
12157b6884b8215
137427b9989533
14335302b160c9
1517b5ce459d1b
hexbefb80f6231

13124213105201 has 64 divisors (see below), whose sum is σ = 15099252940800. Its totient is φ = 11299537152000.

The previous prime is 13124213105189. The next prime is 13124213105291. The reversal of 13124213105201 is 10250131242131.

It is a cyclic number.

It is not a de Polignac number, because 13124213105201 - 238 = 12849335198257 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13124213105291) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1118757506 + ... + 1118769236.

It is an arithmetic number, because the mean of its divisors is an integer number (235925827200).

Almost surely, 213124213105201 is an apocalyptic number.

13124213105201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13124213105201 is a deficient number, since it is larger than the sum of its proper divisors (1975039835599).

13124213105201 is a wasteful number, since it uses less digits than its factorization.

13124213105201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12246.

The product of its (nonzero) digits is 1440, while the sum is 26.

Adding to 13124213105201 its reverse (10250131242131), we get a palindrome (23374344347332).

The spelling of 13124213105201 in words is "thirteen trillion, one hundred twenty-four billion, two hundred thirteen million, one hundred five thousand, two hundred one".

Divisors: 1 11 31 97 149 227 341 1067 1639 2497 3007 4619 7037 11731 14453 22019 33077 33823 50809 77407 129041 158983 242209 363661 372053 448043 682589 1048513 1137907 1747919 2662937 3280831 4000271 4928473 7508479 11533643 12516977 19227109 29292307 35275117 36089141 54185489 82551047 101705761 169548143 258304889 388026287 396777613 596040379 908061517 1118763371 1865029573 2841353779 4364553743 5255992433 8007451559 12300106003 38487428461 57815916763 88081967149 135301166033 423361713071 1193110282291 13124213105201