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33420114105 = 3573171073571
BaseRepresentation
bin11111000111111111…
…100111100010111001
310012021002211200220220
4133013333213202321
51021421022122410
623204125010253
72262116166000
oct370777474271
9105232750826
1033420114105
111319a868414
1265883b3989
1331c7b11261
14189076dc37
15d09006070
hex7c7fe78b9

33420114105 has 128 divisors (see below), whose sum is σ = 66662092800. Its totient is φ = 14240701440.

The previous prime is 33420114089. The next prime is 33420114113. The reversal of 33420114105 is 50141102433.

It is a happy number.

It is not a de Polignac number, because 33420114105 - 24 = 33420114089 is a prime.

It is a super-2 number, since 2×334201141052 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9356970 + ... + 9360540.

It is an arithmetic number, because the mean of its divisors is an integer number (520797600).

Almost surely, 233420114105 is an apocalyptic number.

33420114105 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

33420114105 is a deficient number, since it is larger than the sum of its proper divisors (33241978695).

33420114105 is a wasteful number, since it uses less digits than its factorization.

33420114105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3724 (or 3710 counting only the distinct ones).

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

Adding to 33420114105 its reverse (50141102433), we get a palindrome (83561216538).

The spelling of 33420114105 in words is "thirty-three billion, four hundred twenty million, one hundred fourteen thousand, one hundred five".

Divisors: 1 3 5 7 15 17 21 35 49 51 85 105 107 119 147 245 255 321 343 357 535 595 735 749 833 1029 1605 1715 1785 1819 2247 2499 3571 3745 4165 5145 5243 5457 5831 9095 10713 11235 12495 12733 15729 17493 17855 24997 26215 27285 29155 36701 38199 53565 60707 63665 74991 78645 87465 89131 110103 124985 174979 182121 183505 190995 267393 303535 374955 382097 424949 445655 524937 550515 623917 874895 910605 1146291 1224853 1274847 1336965 1871751 1910485 2124745 2624685 2674679 2974643 3119585 3674559 5731455 6124265 6374235 6495649 8024037 8923929 9358755 13373395 14873215 18372795 18722753 19486947 20822501 32478245 40120185 44619645 45469543 56168259 62467503 93613765 97434735 104112505 131059271 136408629 227347715 280841295 312337515 318286801 393177813 655296355 682043145 954860403 1591434005 1965889065 2228007607 4774302015 6684022821 11140038035 33420114105