Search a number
-
+
213043404123 = 34112310395911
BaseRepresentation
bin1100011001101001100…
…0000101110101011011
3202100220100202021020000
43012122120011311123
511442303102412443
6241512031304043
721251262025164
oct3063230056533
9670810667200
10213043404123
11823954a1830
123535797b023
13171226a9c94
14a45050876b
15581d5eb8d3
hex319a605d5b

213043404123 has 40 divisors (see below), whose sum is σ = 362276741376. Its totient is φ = 123503410800.

The previous prime is 213043404097. The next prime is 213043404127. The reversal of 213043404123 is 321404340312.

213043404123 is a `hidden beast` number, since 2 + 1 + 304 + 340 + 4 + 12 + 3 = 666.

213043404123 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 213043404123 - 26 = 213043404059 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (213043404127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5177463 + ... + 5218448.

Almost surely, 2213043404123 is an apocalyptic number.

213043404123 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

213043404123 is a deficient number, since it is larger than the sum of its proper divisors (149233337253).

213043404123 is a wasteful number, since it uses less digits than its factorization.

213043404123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10395957 (or 10395948 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 213043404123 its reverse (321404340312), we get a palindrome (534447744435).

The spelling of 213043404123 in words is "two hundred thirteen billion, forty-three million, four hundred four thousand, one hundred twenty-three".

Divisors: 1 3 9 11 23 27 33 69 81 99 207 253 297 621 759 891 1863 2277 6831 20493 10395911 31187733 93563199 114355021 239105953 280689597 343065063 717317859 842068791 1029195189 2151953577 2630165483 3087585567 6455860731 7890496449 9262756701 19367582193 23671489347 71014468041 213043404123