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20315433425301 = 32721012936312467
BaseRepresentation
bin1001001111010000011100…
…01100010101100110010101
32122221010200111002202211100
410213220032030111212111
510130322001424102201
6111112440431100313
74164512243631300
oct447501614254625
978833614082740
1020315433425301
1165227aa601183
122341325671699
13b449776a4061
145033b4da9b37
152536b7421886
hex127a0e315995

20315433425301 has 144 divisors (see below), whose sum is σ = 34659950951808. Its totient is φ = 11431863072000.

The previous prime is 20315433425299. The next prime is 20315433425341. The reversal of 20315433425301 is 10352433451302.

20315433425301 is a `hidden beast` number, since 2 + 0 + 3 + 1 + 5 + 4 + 3 + 342 + 5 + 301 = 666.

It is not a de Polignac number, because 20315433425301 - 21 = 20315433425299 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20315433425341) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8234872470 + ... + 8234874936.

It is an arithmetic number, because the mean of its divisors is an integer number (240694103832).

Almost surely, 220315433425301 is an apocalyptic number.

20315433425301 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

20315433425301 is a deficient number, since it is larger than the sum of its proper divisors (14344517526507).

20315433425301 is a wasteful number, since it uses less digits than its factorization.

20315433425301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3512 (or 3502 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

Adding to 20315433425301 its reverse (10352433451302), we get a palindrome (30667866876603).

The spelling of 20315433425301 in words is "twenty trillion, three hundred fifteen billion, four hundred thirty-three million, four hundred twenty-five thousand, three hundred one".

Divisors: 1 3 7 9 21 49 63 101 147 293 303 441 631 707 879 909 1893 2051 2121 2467 2637 4417 4949 5679 6153 6363 7401 13251 14357 14847 17269 18459 22203 29593 30919 39753 43071 44541 51807 63731 88779 92757 120883 129213 155421 184883 191193 207151 249167 266337 278271 362649 446117 554649 573579 621453 722831 747501 1087947 1294181 1338351 1450057 1556677 1663947 1744169 1864359 2168493 2242503 3122819 3882543 4015053 4350171 4670031 5059817 5232507 6505479 9059267 9368457 10896739 11647629 12209183 13050513 14010093 15179451 15697521 18673183 27177801 28105371 32690217 35418719 36627549 45538353 56019549 73005931 76277173 81533403 98070651 106256157 109882647 130712281 157224377 168058647 219017793 228831519 318768471 392136843 456106361 471673131 511041517 657053379 686494557 914985967 1100570639 1176410529 1368319083 1415019393 1533124551 2744957901 3192744527 3301711917 3577290619 4104957249 4599373653 7703994473 8234873703 9578233581 9905135751 10731871857 22349211689 23111983419 28734700743 32195615571 46066742461 67047635067 69335950257 138200227383 201142905201 322467197227 414600682149 967401591681 2257270380589 2902204775043 6771811141767 20315433425301