Search a number
-
+
122350313323053 = 3311466793951841
BaseRepresentation
bin11011110100011011100110…
…111101101011101000101101
3121001012120112200221112201000
4123310123212331223220231
5112014041420202314203
61112114542532110513
734525342551616614
oct3364334675535055
9531176480845630
10122350313323053
1135a91527228612
1211880388465439
13533677b4436ca
14222db02c3287b
15e2292be284a3
hex6f46e6f6ba2d

122350313323053 has 16 divisors (see below), whose sum is σ = 181259927382400. Its totient is φ = 81566783775360.

The previous prime is 122350313323009. The next prime is 122350313323057. The reversal of 122350313323053 is 350323313053221.

122350313323053 is a `hidden beast` number, since 1 + 2 + 2 + 3 + 5 + 0 + 313 + 32 + 305 + 3 = 666.

It is not a de Polignac number, because 122350313323053 - 26 = 122350313322989 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122350313322999 and 122350313323017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122350313323057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28984413 + ... + 32936253.

It is an arithmetic number, because the mean of its divisors is an integer number (11328745461400).

Almost surely, 2122350313323053 is an apocalyptic number.

It is an amenable number.

122350313323053 is a deficient number, since it is larger than the sum of its proper divisors (58909614059347).

122350313323053 is a wasteful number, since it uses less digits than its factorization.

122350313323053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5098529 (or 5098523 counting only the distinct ones).

The product of its (nonzero) digits is 145800, while the sum is 36.

Adding to 122350313323053 its reverse (350323313053221), we get a palindrome (472673626376274).

The spelling of 122350313323053 in words is "one hundred twenty-two trillion, three hundred fifty billion, three hundred thirteen million, three hundred twenty-three thousand, fifty-three".

Divisors: 1 3 9 27 1146679 3440037 3951841 10320111 11855523 30960333 35566569 106699707 4531493086039 13594479258117 40783437774351 122350313323053