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13201105428 = 22327298292179
BaseRepresentation
bin11000100101101100…
…01110001000010100
31021002000012122020200
430102312032020110
5204013440333203
610021533300500
7645064354560
oct142266161024
937060178220
1013201105428
115664752995
122685034730
131324c551b4
148d33586a0
15523e289a3
hex312d8e214

13201105428 has 144 divisors (see below), whose sum is σ = 39517296000. Its totient is φ = 3635622144.

The previous prime is 13201105397. The next prime is 13201105439. The reversal of 13201105428 is 82450110231.

13201105428 is a `hidden beast` number, since 1 + 3 + 2 + 0 + 110 + 542 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6057243 + ... + 6059421.

Almost surely, 213201105428 is an apocalyptic number.

13201105428 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13201105428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19758648000).

13201105428 is an abundant number, since it is smaller than the sum of its proper divisors (26316190572).

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

13201105428 is a wasteful number, since it uses less digits than its factorization.

13201105428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3054 (or 3049 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 13201105428 its reverse (82450110231), we get a palindrome (95651215659).

The spelling of 13201105428 in words is "thirteen billion, two hundred one million, one hundred five thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 29 36 42 58 63 84 87 116 126 174 203 252 261 348 406 522 609 812 829 1044 1218 1658 1827 2179 2436 2487 3316 3654 4358 4974 5803 6537 7308 7461 8716 9948 11606 13074 14922 15253 17409 19611 23212 24041 26148 29844 30506 34818 39222 45759 48082 52227 61012 63191 69636 72123 78444 91518 96164 104454 126382 137277 144246 168287 183036 189573 208908 216369 252764 274554 288492 336574 379146 432738 442337 504861 549108 568719 673148 758292 865476 884674 1009722 1137438 1327011 1514583 1769348 1806391 2019444 2274876 2654022 3029166 3612782 3981033 5308044 5419173 6058332 7225564 7962066 10838346 12644737 15924132 16257519 21676692 25289474 32515038 37934211 50578948 52385339 65030076 75868422 104770678 113802633 151736844 157156017 209541356 227605266 314312034 366697373 455210532 471468051 628624068 733394746 942936102 1100092119 1466789492 1885872204 2200184238 3300276357 4400368476 6600552714 13201105428