Search a number
-
+
42201105233 = 783279725969
BaseRepresentation
bin100111010011011000…
…011100001101010001
311000221001211021020112
4213103120130031101
51142411440331413
631215324051105
73022532322140
oct472330341521
9130831737215
1042201105233
1116996472a81
128219093a95
133c970accb1
142084a55757
15116ed712a8
hex9d361c351

42201105233 has 16 divisors (see below), whose sum is σ = 48830248320. Its totient is φ = 35722411776.

The previous prime is 42201105197. The next prime is 42201105241. The reversal of 42201105233 is 33250110224.

It is a cyclic number.

It is not a de Polignac number, because 42201105233 - 216 = 42201039697 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 42201105199 and 42201105208.

It is not an unprimeable number, because it can be changed into a prime (42201105253) 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 15 ways as a sum of consecutive naturals, for example, 1612073 + ... + 1638041.

It is an arithmetic number, because the mean of its divisors is an integer number (3051890520).

Almost surely, 242201105233 is an apocalyptic number.

It is an amenable number.

42201105233 is a deficient number, since it is larger than the sum of its proper divisors (6629143087).

42201105233 is a wasteful number, since it uses less digits than its factorization.

42201105233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28856.

The product of its (nonzero) digits is 1440, while the sum is 23.

Adding to 42201105233 its reverse (33250110224), we get a palindrome (75451215457).

The spelling of 42201105233 in words is "forty-two billion, two hundred one million, one hundred five thousand, two hundred thirty-three".

Divisors: 1 7 83 581 2797 19579 25969 181783 232151 1625057 2155427 15087989 72635293 508447051 6028729319 42201105233