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2180042001 = 32242226889
BaseRepresentation
bin1000000111110000…
…1100110100010001
312121221010121102100
42001330030310101
513431042321001
61000153511013
7105011023404
oct20174146421
95557117370
102180042001
11a19638905
1250a112469
132898643a7
14169763d3b
15cb5c8586
hex81f0cd11

2180042001 has 6 divisors (see below), whose sum is σ = 3148949570. Its totient is φ = 1453361328.

The previous prime is 2180041967. The next prime is 2180042009. The reversal of 2180042001 is 1002400812.

It can be written as a sum of positive squares in only one way, i.e., 1844273025 + 335768976 = 42945^2 + 18324^2 .

It is not a de Polignac number, because 2180042001 - 213 = 2180033809 is a prime.

It is a super-2 number, since 2×21800420012 = 9505166252248168002, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2180042009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 121113436 + ... + 121113453.

Almost surely, 22180042001 is an apocalyptic number.

It is an amenable number.

2180042001 is a deficient number, since it is larger than the sum of its proper divisors (968907569).

2180042001 is a wasteful number, since it uses less digits than its factorization.

2180042001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242226895 (or 242226892 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 2180042001 is about 46690.9198988411. The cubic root of 2180042001 is about 1296.6465841536.

Adding to 2180042001 its reverse (1002400812), we get a palindrome (3182442813).

The spelling of 2180042001 in words is "two billion, one hundred eighty million, forty-two thousand, one".

Divisors: 1 3 9 242226889 726680667 2180042001