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2042141333 = 37487711317
BaseRepresentation
bin111100110111000…
…1001101010010101
312021022122112021012
41321232021222111
513140242010313
6534350102005
7101414625551
oct17156115225
95238575235
102042141333
11958810011
1248baaa905
1326711076b
14155308861
15be438da8
hex79b89a95

2042141333 has 8 divisors (see below), whose sum is σ = 2097949752. Its totient is φ = 1986365376.

The previous prime is 2042141279. The next prime is 2042141341. The reversal of 2042141333 is 3331412402.

It can be written as a sum of positive squares in 4 ways, for example, as 1076299249 + 965842084 = 32807^2 + 31078^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2042141333 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2042141299 and 2042141308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2042141393) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 174791 + ... + 186107.

It is an arithmetic number, because the mean of its divisors is an integer number (262243719).

Almost surely, 22042141333 is an apocalyptic number.

It is an amenable number.

2042141333 is a deficient number, since it is larger than the sum of its proper divisors (55808419).

2042141333 is a wasteful number, since it uses less digits than its factorization.

2042141333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16231.

The product of its (nonzero) digits is 1728, while the sum is 23.

The square root of 2042141333 is about 45190.0578999408. The cubic root of 2042141333 is about 1268.7087404768.

Adding to 2042141333 its reverse (3331412402), we get a palindrome (5373553735).

The spelling of 2042141333 in words is "two billion, forty-two million, one hundred forty-one thousand, three hundred thirty-three".

Divisors: 1 37 4877 11317 180449 418729 55193009 2042141333