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321231424132123 = 171011131679914089
BaseRepresentation
bin100100100001010001000010…
…0111011010001010000011011
31120010101102110021011111212121
41021002202010323101100123
5314101023424034211443
63055111402355122111
7124443130102105411
oct11102420473212033
91503342407144777
10321231424132123
119339953348917a
1230040975ba3337
1310a31cbb41626b
14594798081b2b1
152720e770694ed
hex1242884ed141b

321231424132123 has 32 divisors (see below), whose sum is σ = 348609860484480. Its totient is φ = 294916358553600.

The previous prime is 321231424132117. The next prime is 321231424132127.

321231424132123 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 321231424132123 - 229 = 321230887261211 is a prime.

It is not an unprimeable number, because it can be changed into a prime (321231424132127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27444463 + ... + 37358551.

It is an arithmetic number, because the mean of its divisors is an integer number (10894058140140).

Almost surely, 2321231424132123 is an apocalyptic number.

321231424132123 is a deficient number, since it is larger than the sum of its proper divisors (27378436352357).

321231424132123 is a wasteful number, since it uses less digits than its factorization.

321231424132123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9914487.

The product of its digits is 41472, while the sum is 34.

The spelling of 321231424132123 in words is "three hundred twenty-one trillion, two hundred thirty-one billion, four hundred twenty-four million, one hundred thirty-two thousand, one hundred twenty-three".

Divisors: 1 17 101 113 167 1717 1921 2839 11413 16867 18871 194021 286739 320807 1905971 9914089 32401507 168539513 1001322989 1120292057 1655652863 17022490813 19044964969 28146098671 113149497757 167220939163 187088773519 1923541461869 2842755965771 3180509149823 18895966125419 321231424132123