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20112022012104 = 23331112236921223
BaseRepresentation
bin1001001001010101100011…
…11011011000000011001000
32122012200122101122100012000
410210222301323120003020
510114003410113341404
6110435200234351000
74144021440303231
oct444526173300310
978180571570160
1020112022012104
116454508119830
122309a1758b460
13b2b72b6941b9
144d75d9bca088
1524d25e73d339
hex124ab1ed80c8

20112022012104 has 128 divisors (see below), whose sum is σ = 60995362867200. Its totient is φ = 6089567964480.

The previous prime is 20112022012091. The next prime is 20112022012109. The reversal of 20112022012104 is 40121022021102.

20112022012104 is a `hidden beast` number, since 201 + 120 + 220 + 121 + 0 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (20112022012109) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 554764 + ... + 6366459.

It is an arithmetic number, because the mean of its divisors is an integer number (476526272400).

Almost surely, 220112022012104 is an apocalyptic number.

20112022012104 is a gapful number since it is divisible by the number (24) 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 20112022012104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30497681433600).

20112022012104 is an abundant number, since it is smaller than the sum of its proper divisors (40883340855096).

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

20112022012104 is a wasteful number, since it uses less digits than its factorization.

20112022012104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6922472 (or 6922462 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 20112022012104 its reverse (40121022021102), we get a palindrome (60233044033206).

The spelling of 20112022012104 in words is "twenty trillion, one hundred twelve billion, twenty-two million, twelve thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 198 216 264 297 396 594 792 1188 1223 2376 2446 3669 4892 7338 9784 11007 13453 14676 22014 26906 29352 33021 40359 44028 53812 66042 80718 88056 107624 121077 132084 161436 242154 264168 322872 363231 484308 726462 968616 1452924 2905848 6921223 13842446 20763669 27684892 41527338 55369784 62291007 76133453 83054676 124582014 152266906 166109352 186873021 228400359 249164028 304533812 373746042 456800718 498328056 609067624 685201077 747492084 913601436 1370402154 1494984168 1827202872 2055603231 2740804308 4111206462 5481608616 8222412924 8464655729 16444825848 16929311458 25393967187 33858622916 50787934374 67717245832 76181901561 93111213019 101575868748 152363803122 186222426038 203151737496 228545704683 279333639057 304727606244 372444852076 457091409366 558667278114 609455212488 744889704152 838000917171 914182818732 1117334556228 1676001834342 1828365637464 2234669112456 2514002751513 3352003668684 5028005503026 6704007337368 10056011006052 20112022012104