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121413003405 = 35235361199547
BaseRepresentation
bin111000100010011000…
…1110110100010001101
3102121101110222121202220
41301010301312202031
53442123212102110
6131435410005553
711525504333601
oct1610461664215
9377343877686
10121413003405
1147544525531
121b644b768b9
13b5abb69765
145c3ac81501
153259068370
hex1c44c7688d

121413003405 has 128 divisors (see below), whose sum is σ = 211357900800. Its totient is φ = 59364264960.

The previous prime is 121413003401. The next prime is 121413003433. The reversal of 121413003405 is 504300314121.

It is a happy number.

It is not a de Polignac number, because 121413003405 - 22 = 121413003401 is a prime.

It is a super-3 number, since 3×1214130034053 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121413003401) 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 127 ways as a sum of consecutive naturals, for example, 221961342 + ... + 221961888.

It is an arithmetic number, because the mean of its divisors is an integer number (1651233600).

Almost surely, 2121413003405 is an apocalyptic number.

121413003405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

121413003405 is a deficient number, since it is larger than the sum of its proper divisors (89944897395).

121413003405 is a wasteful number, since it uses less digits than its factorization.

121413003405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 891.

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 121413003405 its reverse (504300314121), we get a palindrome (625713317526).

The spelling of 121413003405 in words is "one hundred twenty-one billion, four hundred thirteen million, three thousand, four hundred five".

Divisors: 1 3 5 15 23 53 61 69 115 159 183 199 265 305 345 547 597 795 915 995 1219 1403 1641 2735 2985 3233 3657 4209 4577 6095 7015 8205 9699 10547 12139 12581 13731 16165 18285 21045 22885 28991 31641 33367 36417 37743 48495 52735 60695 62905 68655 74359 86973 100101 108853 144955 158205 166835 182085 188715 223077 242581 279197 326559 371795 434865 500505 544265 643367 666793 727743 767441 837591 1115385 1212905 1395985 1632795 1768451 1930101 2000379 2302323 2503619 3216835 3333965 3638715 3837205 4187955 5305353 5769209 6640033 7510857 8842255 9650505 10001895 11511615 12518095 14797441 17307627 19920099 26526765 28846045 33200165 37554285 40674373 44392323 73987205 86538135 99600495 122023119 132691807 152720759 203371865 221961615 351921749 398075421 458162277 610115595 663459035 763603795 1055765247 1759608745 1990377105 2290811385 5278826235 8094200227 24282600681 40471001135 121413003405