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123320417 = 1121019177
BaseRepresentation
bin1110101100110…
…11100001100001
322121001022210212
413112123201201
5223032223132
620123103505
73025130513
oct726334141
9277038725
10123320417
116367a500
1235371b95
131c71a37c
1412541bb3
15ac5e5b2
hex759b861

123320417 has 6 divisors (see below), whose sum is σ = 135550674. Its totient is φ = 112109360.

The previous prime is 123320381. The next prime is 123320459. The reversal of 123320417 is 714023321.

It can be written as a sum of positive squares in only one way, i.e., 65545216 + 57775201 = 8096^2 + 7601^2 .

It is not a de Polignac number, because 123320417 - 28 = 123320161 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 123320392 and 123320401.

It is not an unprimeable number, because it can be changed into a prime (123320117) 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, 509468 + ... + 509709.

It is an arithmetic number, because the mean of its divisors is an integer number (22591779).

Almost surely, 2123320417 is an apocalyptic number.

It is an amenable number.

123320417 is a deficient number, since it is larger than the sum of its proper divisors (12230257).

123320417 is a wasteful number, since it uses less digits than its factorization.

123320417 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1019199 (or 1019188 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 23.

The square root of 123320417 is about 11104.9726249100. The cubic root of 123320417 is about 497.7504502300.

Adding to 123320417 its reverse (714023321), we get a palindrome (837343738).

The spelling of 123320417 in words is "one hundred twenty-three million, three hundred twenty thousand, four hundred seventeen".

Divisors: 1 11 121 1019177 11210947 123320417