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13201087478922 = 2337198322145537
BaseRepresentation
bin1100000000011001111000…
…1000010011110010001010
31201202000022111001212102000
43000012132020103302022
53212241311343311142
644024255035051430
72531514153102030
oct300063610236212
951660274055360
1013201087478922
11422a605803a02
1215925615a0b76
13749b1b393035
14338d16706550
1517d5cd31c14c
hexc019e213c8a

13201087478922 has 128 divisors (see below), whose sum is σ = 35716323686400. Its totient is φ = 3530175602688.

The previous prime is 13201087478893. The next prime is 13201087478927. The reversal of 13201087478922 is 22987478010231.

13201087478922 is a `hidden beast` number, since 1 + 3 + 2 + 0 + 1 + 0 + 87 + 478 + 92 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (13201087478927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10476663 + ... + 11668874.

It is an arithmetic number, because the mean of its divisors is an integer number (279033778800).

Almost surely, 213201087478922 is an apocalyptic number.

13201087478922 is an abundant number, since it is smaller than the sum of its proper divisors (22515236207478).

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

13201087478922 is a wasteful number, since it uses less digits than its factorization.

13201087478922 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22145657 (or 22145651 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 13201087478922 in words is "thirteen trillion, two hundred one billion, eighty-seven million, four hundred seventy-eight thousand, nine hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 19 21 27 38 42 54 57 63 83 114 126 133 166 171 189 249 266 342 378 399 498 513 581 747 798 1026 1162 1197 1494 1577 1743 2241 2394 3154 3486 3591 4482 4731 5229 7182 9462 10458 11039 14193 15687 22078 28386 31374 33117 42579 66234 85158 99351 198702 298053 596106 22145537 44291074 66436611 132873222 155018759 199309833 310037518 398619666 420765203 465056277 597929499 841530406 930112554 1195858998 1262295609 1395168831 1838079571 2524591218 2790337662 2945356421 3676159142 3786886827 4185506493 5514238713 5890712842 7573773654 8371012986 8836069263 11028477426 11360660481 12866556997 16542716139 17672138526 22721320962 25733113994 26508207789 33085432278 34923511849 38599670991 49628148417 53016415578 69847023698 77199341982 79524623367 99256296834 104770535547 115799012973 159049246734 209541071094 231598025946 244464582943 314311606641 347397038919 488929165886 628623213282 694794077838 733393748829 942934819923 1466787497658 1885869639846 2200181246487 4400362492974 6600543739461 13201087478922