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2122141043418 = 2311472712524429
BaseRepresentation
bin11110111000011001011…
…101101000101011011010
321111212121122202201212220
4132320121131220223122
5234232121101342133
64302521555244510
7306214430146404
oct36703135505332
97455548681786
102122141043418
11748aa4327580
122a33508a9736
1312516a1aa026
14749d82c7b74
153a305e065b3
hex1ee19768ada

2122141043418 has 64 divisors (see below), whose sum is σ = 4746089963520. Its totient is φ = 627067915200.

The previous prime is 2122141043383. The next prime is 2122141043419. The reversal of 2122141043418 is 8143401412212.

It is a super-2 number, since 2×21221410434182 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (2122141043419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 421573 + ... + 2102856.

It is an arithmetic number, because the mean of its divisors is an integer number (74157655680).

Almost surely, 22122141043418 is an apocalyptic number.

2122141043418 is an abundant number, since it is smaller than the sum of its proper divisors (2623948920102).

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

2122141043418 is a wasteful number, since it uses less digits than its factorization.

2122141043418 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2524763.

The product of its (nonzero) digits is 12288, while the sum is 33.

The spelling of 2122141043418 in words is "two trillion, one hundred twenty-two billion, one hundred forty-one million, forty-three thousand, four hundred eighteen".

Divisors: 1 2 3 6 11 22 33 47 66 94 141 271 282 517 542 813 1034 1551 1626 2981 3102 5962 8943 12737 17886 25474 38211 76422 140107 280214 420321 840642 2524429 5048858 7573287 15146574 27768719 55537438 83306157 118648163 166612314 237296326 355944489 684120259 711888978 1305129793 1368240518 2052360777 2610259586 3915389379 4104721554 7525322849 7830778758 15050645698 22575968547 32153652173 45151937094 64307304346 96460956519 192921913038 353690173903 707380347806 1061070521709 2122141043418