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2240232100001 = 72122937200181
BaseRepresentation
bin100000100110011000001…
…111010001000010100001
321221011102121220222022022
4200212120033101002201
5243200443404200001
64433052020351225
7320565016443200
oct40463017210241
97834377828268
102240232100001
11794093688205
12302209245515
13133339a4bb7c
147a5dbcb9237
153d4184d411b
hex209983d10a1

2240232100001 has 12 divisors (see below), whose sum is σ = 2608104760020. Its totient is φ = 1918636483680.

The previous prime is 2240232099979. The next prime is 2240232100063. The reversal of 2240232100001 is 1000012320422.

It can be written as a sum of positive squares in 2 ways, for example, as 1339982195776 + 900249904225 = 1157576^2 + 948815^2 .

It is a de Polignac number, because none of the positive numbers 2k-2240232100001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2240232100081) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18539870 + ... + 18660311.

It is an arithmetic number, because the mean of its divisors is an integer number (217342063335).

Almost surely, 22240232100001 is an apocalyptic number.

It is an amenable number.

2240232100001 is a deficient number, since it is larger than the sum of its proper divisors (367872660019).

2240232100001 is a wasteful number, since it uses less digits than its factorization.

2240232100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37201424 (or 37201417 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 2240232100001 its reverse (1000012320422), we get a palindrome (3240244420423).

The spelling of 2240232100001 in words is "two trillion, two hundred forty billion, two hundred thirty-two million, one hundred thousand, one".

Divisors: 1 7 49 1229 8603 60221 37200181 260401267 1822808869 45719022449 320033157143 2240232100001