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321211222112123 = 7611017448030749
BaseRepresentation
bin100100100001000111101000…
…0110010101011011101111011
31120010022111022100111120021122
41021002033100302223131323
5314100211040330041443
63055054222011455455
7124441513344552050
oct11102172062533573
91503274270446248
10321211222112123
1193390a06a17582
1230038a7845758b
1310a3011bc27a85
1459469c5789027
1527206936e5968
hex12423d0cab77b

321211222112123 has 16 divisors (see below), whose sum is σ = 376810771704000. Its totient is φ = 268129106928000.

The previous prime is 321211222112093. The next prime is 321211222112167.

321211222112123 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 321211222112123 - 230 = 321210148370299 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 321211222112092 and 321211222112101.

It is not an unprimeable number, because it can be changed into a prime (321211222112623) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3723972248 + ... + 3724058501.

It is an arithmetic number, because the mean of its divisors is an integer number (23550673231500).

Almost surely, 2321211222112123 is an apocalyptic number.

321211222112123 is a deficient number, since it is larger than the sum of its proper divisors (55599549591877).

321211222112123 is a wasteful number, since it uses less digits than its factorization.

321211222112123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7448030918.

The product of its digits is 1152, while the sum is 26.

The spelling of 321211222112123 in words is "three hundred twenty-one trillion, two hundred eleven billion, two hundred twenty-two million, one hundred twelve thousand, one hundred twenty-three".

Divisors: 1 7 61 101 427 707 6161 43127 7448030749 52136215243 454329875689 752251105649 3180309129823 5265757739543 45887317444589 321211222112123