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123335144101 = 1337256414021
BaseRepresentation
bin111001011011101011…
…0001111001010100101
3102210100102211111010001
41302313112033022211
54010042244102401
6132354232101301
711624234266411
oct1626726171245
9383312744101
10123335144101
1148340523264
121baa0834831
13b827152c10
145d8026dd41
15331cb9b601
hex1cb758f2a5

123335144101 has 8 divisors (see below), whose sum is σ = 136412259704. Its totient is φ = 110770856640.

The previous prime is 123335144083. The next prime is 123335144113. The reversal of 123335144101 is 101441533321.

It can be written as a sum of positive squares in 4 ways, for example, as 15875748001 + 107459396100 = 125999^2 + 327810^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-123335144101 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 123335144101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123335144131) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 128206530 + ... + 128207491.

It is an arithmetic number, because the mean of its divisors is an integer number (17051532463).

Almost surely, 2123335144101 is an apocalyptic number.

It is an amenable number.

123335144101 is a deficient number, since it is larger than the sum of its proper divisors (13077115603).

123335144101 is a wasteful number, since it uses less digits than its factorization.

123335144101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256414071.

The product of its (nonzero) digits is 4320, while the sum is 28.

Adding to 123335144101 its reverse (101441533321), we get a palindrome (224776677422).

The spelling of 123335144101 in words is "one hundred twenty-three billion, three hundred thirty-five million, one hundred forty-four thousand, one hundred one".

Divisors: 1 13 37 481 256414021 3333382273 9487318777 123335144101