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220010141 = 13174124281
BaseRepresentation
bin11010001110100…
…01011010011101
3120022222200011202
431013101122131
5422310311031
633455325245
75311024661
oct1507213235
9508880152
10220010141
1110320a96a
1261820825
1336772220
14213108a1
15144ad2cb
hexd1d169d

220010141 has 16 divisors (see below), whose sum is σ = 257000688. Its totient is φ = 186470400.

The previous prime is 220010129. The next prime is 220010159. The reversal of 220010141 is 141010022.

It can be written as a sum of positive squares in 8 ways, for example, as 348100 + 219662041 = 590^2 + 14821^2 .

It is a cyclic number.

It is not a de Polignac number, because 220010141 - 222 = 215815837 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220010041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3080 + ... + 21201.

It is an arithmetic number, because the mean of its divisors is an integer number (16062543).

Almost surely, 2220010141 is an apocalyptic number.

It is an amenable number.

220010141 is a deficient number, since it is larger than the sum of its proper divisors (36990547).

220010141 is a wasteful number, since it uses less digits than its factorization.

220010141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24352.

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 220010141 is about 14832.7388232922. The cubic root of 220010141 is about 603.6903491884.

Adding to 220010141 its reverse (141010022), we get a palindrome (361020163).

The spelling of 220010141 in words is "two hundred twenty million, ten thousand, one hundred forty-one".

Divisors: 1 13 17 41 221 533 697 9061 24281 315653 412777 995521 5366101 12941773 16923857 220010141