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106633241 = 11131136599
BaseRepresentation
bin1100101101100…
…01100000011001
321102122112022022
412112301200121
5204244230431
614325304225
72433240041
oct626614031
9242575268
10106633241
1155212150
122b865075
1319126ac0
141023a721
15956507b
hex65b1819

106633241 has 16 divisors (see below), whose sum is σ = 126403200. Its totient is φ = 88677120.

The previous prime is 106633229. The next prime is 106633243. The reversal of 106633241 is 142336601.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-106633241 is a prime.

It is a super-2 number, since 2×1066332412 = 22741296172328162, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106633241.

It is not an unprimeable number, because it can be changed into a prime (106633243) 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, 12860 + ... + 19458.

It is an arithmetic number, because the mean of its divisors is an integer number (7900200).

Almost surely, 2106633241 is an apocalyptic number.

106633241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

106633241 is a deficient number, since it is larger than the sum of its proper divisors (19769959).

106633241 is a wasteful number, since it uses less digits than its factorization.

106633241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6736.

The product of its (nonzero) digits is 2592, while the sum is 26.

The square root of 106633241 is about 10326.3372499643. The cubic root of 106633241 is about 474.2028972858.

Adding to 106633241 its reverse (142336601), we get a palindrome (248969842).

The spelling of 106633241 in words is "one hundred six million, six hundred thirty-three thousand, two hundred forty-one".

Divisors: 1 11 13 113 143 1243 1469 6599 16159 72589 85787 745687 943657 8202557 9693931 106633241