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430400113 = 111328110711
BaseRepresentation
bin11001101001110…
…110001001110001
31002222212120221221
4121221312021301
51340140300423
6110412545041
713444224553
oct3151661161
91088776857
10430400113
11200a49a80
12100182181
136b226730
14412394d3
1527bbae5d
hex19a76271

430400113 has 16 divisors (see below), whose sum is σ = 507491712. Its totient is φ = 359856000.

The previous prime is 430400099. The next prime is 430400119. The reversal of 430400113 is 311004034.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-430400113 is a prime.

It is not an unprimeable number, because it can be changed into a prime (430400119) 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, 34828 + ... + 45538.

It is an arithmetic number, because the mean of its divisors is an integer number (31718232).

Almost surely, 2430400113 is an apocalyptic number.

It is an amenable number.

430400113 is a deficient number, since it is larger than the sum of its proper divisors (77091599).

430400113 is a wasteful number, since it uses less digits than its factorization.

430400113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11016.

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 430400113 is about 20746.0866912293. The cubic root of 430400113 is about 755.0182665931.

Adding to 430400113 its reverse (311004034), we get a palindrome (741404147).

The spelling of 430400113 in words is "four hundred thirty million, four hundred thousand, one hundred thirteen".

Divisors: 1 11 13 143 281 3091 3653 10711 40183 117821 139243 1531673 3009791 33107701 39127283 430400113