Search a number
-
+
123430401 = 32109125821
BaseRepresentation
bin1110101101101…
…10011000000001
322121020220200100
413112312120001
5223044233101
620125313013
73026066253
oct726663001
9277226610
10123430401
11637450a6
1235405769
131c758453
141256dcd3
15ac81e86
hex75b6601

123430401 has 12 divisors (see below), whose sum is σ = 179925460. Its totient is φ = 81531360.

The previous prime is 123430399. The next prime is 123430423. The reversal of 123430401 is 104034321.

123430401 is a `hidden beast` number, since 1 + 234 + 30 + 401 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 62964225 + 60466176 = 7935^2 + 7776^2 .

It is not a de Polignac number, because 123430401 - 21 = 123430399 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (123430001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61930 + ... + 63891.

Almost surely, 2123430401 is an apocalyptic number.

It is an amenable number.

123430401 is a deficient number, since it is larger than the sum of its proper divisors (56495059).

123430401 is a wasteful number, since it uses less digits than its factorization.

123430401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125936 (or 125933 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 123430401 is about 11109.9235370906. The cubic root of 123430401 is about 497.8983800975.

Adding to 123430401 its reverse (104034321), we get a palindrome (227464722).

The spelling of 123430401 in words is "one hundred twenty-three million, four hundred thirty thousand, four hundred one".

Divisors: 1 3 9 109 327 981 125821 377463 1132389 13714489 41143467 123430401