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106310241 = 3211812249
BaseRepresentation
bin1100101011000…
…10101001100001
321102001010020100
412111202221201
5204203411431
614314333013
72430423252
oct625425141
9242033210
10106310241
1155011504
122b72a169
1319042a8b
1410194b29
1594ee4e6
hex6562a61

106310241 has 6 divisors (see below), whose sum is σ = 153559250. Its totient is φ = 70873488.

The previous prime is 106310227. The next prime is 106310257. The reversal of 106310241 is 142013601.

It is a happy number.

106310241 is a `hidden beast` number, since 10 + 631 + 0 + 24 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 81270225 + 25040016 = 9015^2 + 5004^2 .

It is not a de Polignac number, because 106310241 - 26 = 106310177 is a prime.

It is a super-2 number, since 2×1063102412 = 22603734682956162, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106310261) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5906116 + ... + 5906133.

Almost surely, 2106310241 is an apocalyptic number.

It is an amenable number.

106310241 is a deficient number, since it is larger than the sum of its proper divisors (47249009).

106310241 is a wasteful number, since it uses less digits than its factorization.

106310241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11812255 (or 11812252 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 106310241 is about 10310.6857676878. The cubic root of 106310241 is about 473.7236144433.

Adding to 106310241 its reverse (142013601), we get a palindrome (248323842).

The spelling of 106310241 in words is "one hundred six million, three hundred ten thousand, two hundred forty-one".

Divisors: 1 3 9 11812249 35436747 106310241