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2122123000001 = 4175768373973
BaseRepresentation
bin11110111000011000011…
…000110011100011000001
321111212120101211000222012
4132320120120303203001
5234232101442000001
64302520112422305
7306214120606604
oct36703030634301
97455511730865
102122123000001
11748a95123264
122a3346847995
13125166530354
14749d5b4c33b
153a3045402bb
hex1ee186338c1

2122123000001 has 8 divisors (see below), whose sum is σ = 2176753836264. Its totient is φ = 2067628913280.

The previous prime is 2122122999991. The next prime is 2122123000073. The reversal of 2122123000001 is 1000003212212.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 189886777600 + 1932236222401 = 435760^2 + 1390049^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 2122123000001 - 210 = 2122122998977 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 2122123000001.

It is not an unprimeable number, because it can be changed into a prime (2122123020001) 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 7 ways as a sum of consecutive naturals, for example, 34155950 + ... + 34218023.

It is an arithmetic number, because the mean of its divisors is an integer number (272094229533).

Almost surely, 22122123000001 is an apocalyptic number.

It is an amenable number.

2122123000001 is a deficient number, since it is larger than the sum of its proper divisors (54630836263).

2122123000001 is an equidigital number, since it uses as much as digits as its factorization.

2122123000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68374771.

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 2122123000001 its reverse (1000003212212), we get a palindrome (3122126212213).

The spelling of 2122123000001 in words is "two trillion, one hundred twenty-two billion, one hundred twenty-three million, one", and thus it is an aban number.

Divisors: 1 41 757 31037 68373973 2803332893 51759097561 2122123000001