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321402404204123 = 11210138216882803
BaseRepresentation
bin100100100010100000101010…
…0001000011110111001011011
31120010222202210011100010000212
41021011001110020132321123
5314111324110434012443
63055322120503321335
7124461362123535344
oct11105012410367133
91503882704303025
10321402404204123
1193454aa3258a00
1230069b32a5024b
1310a45169420ab8
145951d606d50cb
15272563295b618
hex124505421ee5b

321402404204123 has 24 divisors (see below), whose sum is σ = 356868239062608. Its totient is φ = 289215340040000.

The previous prime is 321402404204107. The next prime is 321402404204143.

It is a happy number.

321402404204123 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 321402404204123 - 24 = 321402404204107 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 321402404204123.

It is not an unprimeable number, because it can be changed into a prime (321402404204143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43255040 + ... + 50137842.

It is an arithmetic number, because the mean of its divisors is an integer number (14869509960942).

Almost surely, 2321402404204123 is an apocalyptic number.

321402404204123 is a deficient number, since it is larger than the sum of its proper divisors (35465834858485).

321402404204123 is a wasteful number, since it uses less digits than its factorization.

321402404204123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6886747 (or 6886736 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

It can be divided in two parts, 32140240 and 4204123, that added together give a palindrome (36344363).

The spelling of 321402404204123 in words is "three hundred twenty-one trillion, four hundred two billion, four hundred four million, two hundred four thousand, one hundred twenty-three".

Divisors: 1 11 101 121 1111 3821 12221 42031 385921 462341 4245131 6882803 46696441 75710833 695163103 832819163 7646794133 26299190263 84114735463 289291092893 2656218216563 3182202021823 29218400382193 321402404204123