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301220121020112 = 243271443120707469
BaseRepresentation
bin100010001111101010100011…
…0010100000000011011010000
31110111112100210010220102110200
41010133111012110000123100
5303440142301440120422
62544350340244055200
7120306302255150250
oct10437250624003320
91414470703812420
10301220121020112
1187a83810583858
122994a589094500
13cc0cc2148a788
1454551bb349960
1524c565ec1d2ac
hex111f5465006d0

301220121020112 has 120 divisors (see below), whose sum is σ = 963493067496960. Its totient is φ = 86056923813120.

The previous prime is 301220121020069. The next prime is 301220121020191. The reversal of 301220121020112 is 211020121022103.

301220121020112 is a `hidden beast` number, since 30 + 1 + 220 + 1 + 210 + 201 + 1 + 2 = 666.

It is a super-2 number, since 2×3012201210201122 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4192714 + ... + 24900182.

It is an arithmetic number, because the mean of its divisors is an integer number (8029108895808).

Almost surely, 2301220121020112 is an apocalyptic number.

It is an amenable number.

301220121020112 is an abundant number, since it is smaller than the sum of its proper divisors (662272946476848).

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

301220121020112 is a wasteful number, since it uses less digits than its factorization.

301220121020112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20721921 (or 20721912 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 301220121020112 its reverse (211020121022103), we get a palindrome (512240242042215).

The spelling of 301220121020112 in words is "three hundred one trillion, two hundred twenty billion, one hundred twenty-one million, twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 14431 28862 43293 57724 86586 101017 115448 129879 173172 202034 230896 259758 303051 346344 404068 519516 606102 692688 808136 909153 1039032 1212204 1616272 1818306 2078064 2424408 3636612 4848816 7273224 14546448 20707469 41414938 62122407 82829876 124244814 144952283 165659752 186367221 248489628 289904566 331319504 372734442 434856849 496979256 579809132 745468884 869713698 993958512 1159618264 1304570547 1490937768 1739427396 2319236528 2609141094 2981875536 3478854792 5218282188 6957709584 10436564376 20873128752 298829485139 597658970278 896488455417 1195317940556 1792976910834 2091806395973 2390635881112 2689465366251 3585953821668 4183612791946 4781271762224 5378930732502 6275419187919 7171907643336 8367225583892 10757861465004 12550838375838 14343815286672 16734451167784 18826257563757 21515722930008 25101676751676 33468902335568 37652515127514 43031445860016 50203353503352 75305030255028 100406707006704 150610060510056 301220121020112