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123131105 = 5193127597
BaseRepresentation
bin1110101011011…
…01010011100001
322120200201010022
413111231103201
5223010143410
620115043225
73023411546
oct725552341
9276621108
10123131105
1163560249
12352a0515
131c682156
14124d2bcd
15ac23455
hex756d4e1

123131105 has 8 divisors (see below), whose sum is σ = 148524072. Its totient is φ = 97993728.

The previous prime is 123131093. The next prime is 123131131. The reversal of 123131105 is 501131321.

It can be written as a sum of positive squares in 4 ways, for example, as 3972049 + 119159056 = 1993^2 + 10916^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 123131105 - 214 = 123114721 is a prime.

It is a super-2 number, since 2×1231311052 = 30322538037042050, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62834 + ... + 64763.

It is an arithmetic number, because the mean of its divisors is an integer number (18565509).

Almost surely, 2123131105 is an apocalyptic number.

It is an amenable number.

123131105 is a deficient number, since it is larger than the sum of its proper divisors (25392967).

123131105 is a wasteful number, since it uses less digits than its factorization.

123131105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127795.

The product of its (nonzero) digits is 90, while the sum is 17.

The square root of 123131105 is about 11096.4456020836. The cubic root of 123131105 is about 497.4956170754.

Adding to 123131105 its reverse (501131321), we get a palindrome (624262426).

The spelling of 123131105 in words is "one hundred twenty-three million, one hundred thirty-one thousand, one hundred five".

Divisors: 1 5 193 965 127597 637985 24626221 123131105