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122413335105 = 35193373113363
BaseRepresentation
bin111001000000001100…
…1110100001001000001
3102200222012021201220010
41302000121310021001
54001200303210410
6132122542335133
711562342115545
oct1620031641101
9380865251803
10122413335105
1147a08155546
121b883b8a4a9
13b70b1918c9
145cd3a77a25
1532b6cb2c20
hex1c80674241

122413335105 has 32 divisors (see below), whose sum is σ = 197405721216. Its totient is φ = 64774139904.

The previous prime is 122413335061. The next prime is 122413335167. The reversal of 122413335105 is 501533314221.

It is not a de Polignac number, because 122413335105 - 215 = 122413302337 is a prime.

It is a super-2 number, since 2×1224133351052 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1023154 + ... + 1136516.

It is an arithmetic number, because the mean of its divisors is an integer number (6168928788).

Almost surely, 2122413335105 is an apocalyptic number.

122413335105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

122413335105 is a deficient number, since it is larger than the sum of its proper divisors (74992386111).

122413335105 is a wasteful number, since it uses less digits than its factorization.

122413335105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113937.

The product of its (nonzero) digits is 10800, while the sum is 30.

Adding to 122413335105 its reverse (501533314221), we get a palindrome (623946649326).

The spelling of 122413335105 in words is "one hundred twenty-two billion, four hundred thirteen million, three hundred thirty-five thousand, one hundred five".

Divisors: 1 3 5 15 193 373 579 965 1119 1865 2895 5595 71989 113363 215967 340089 359945 566815 1079835 1700445 21879059 42284399 65637177 109395295 126853197 211421995 328185885 634265985 8160889007 24482667021 40804445035 122413335105