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123320431 = 13171943683
BaseRepresentation
bin1110101100110…
…11100001101111
322121001022211101
413112123201233
5223032223211
620123103531
73025130533
oct726334157
9277038741
10123320431
116367a513
1235371ba7
131c71a390
1412541bc3
15ac5e5c1
hex759b86f

123320431 has 32 divisors (see below), whose sum is σ = 151683840. Its totient is φ = 98993664.

The previous prime is 123320381. The next prime is 123320459. The reversal of 123320431 is 134023321.

It is a cyclic number.

It is not a de Polignac number, because 123320431 - 27 = 123320303 is a prime.

It is a super-2 number, since 2×1233204312 = 30415857404051522, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a junction number, because it is equal to n+sod(n) for n = 123320399 and 123320408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123320471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 180216 + ... + 180898.

It is an arithmetic number, because the mean of its divisors is an integer number (4740120).

Almost surely, 2123320431 is an apocalyptic number.

123320431 is a deficient number, since it is larger than the sum of its proper divisors (28363409).

123320431 is a wasteful number, since it uses less digits than its factorization.

123320431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 775.

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 123320431 is about 11104.9732552582. The cubic root of 123320431 is about 497.7504690658.

Adding to 123320431 its reverse (134023321), we get a palindrome (257343752).

It can be divided in two parts, 1233204 and 31, that added together give a triangular number (1233235 = T1570).

The spelling of 123320431 in words is "one hundred twenty-three million, three hundred twenty thousand, four hundred thirty-one".

Divisors: 1 13 17 19 43 221 247 323 559 683 731 817 4199 8879 9503 10621 11611 12977 13889 29369 150943 168701 180557 220609 381797 499273 558011 2867917 6490549 7254143 9486187 123320431