Search a number
-
+
214430313123 = 33133174574217
BaseRepresentation
bin1100011110110100001…
…0101110101010100011
3202111111000110112201000
43013231002232222203
512003123130004443
6242301413443043
721330532405515
oct3075502565243
9674430415630
10214430313123
1182a3735a014
1235684340483
13172b3b23cb0
14a5427adbb5
1558a02578d3
hex31ed0aeaa3

214430313123 has 64 divisors (see below), whose sum is σ = 344022779520. Its totient is φ = 131221886976.

The previous prime is 214430313121. The next prime is 214430313137. The reversal of 214430313123 is 321313034412.

It is a happy number.

214430313123 is a `hidden beast` number, since 2 + 1 + 44 + 303 + 1 + 312 + 3 = 666.

It is not a de Polignac number, because 214430313123 - 21 = 214430313121 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 (214430313121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 50846911 + ... + 50851127.

It is an arithmetic number, because the mean of its divisors is an integer number (5375355930).

Almost surely, 2214430313123 is an apocalyptic number.

214430313123 is a deficient number, since it is larger than the sum of its proper divisors (129592466397).

214430313123 is a wasteful number, since it uses less digits than its factorization.

214430313123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5013 (or 5007 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 214430313123 its reverse (321313034412), we get a palindrome (535743347535).

The spelling of 214430313123 in words is "two hundred fourteen billion, four hundred thirty million, three hundred thirteen thousand, one hundred twenty-three".

Divisors: 1 3 9 13 27 39 117 317 351 457 951 1371 2853 4113 4121 4217 5941 8559 12339 12363 12651 17823 37089 37953 53469 54821 111267 113859 144869 160407 164463 434607 493389 1303821 1336789 1480167 1883297 1927169 3911463 4010367 5649891 5781507 12031101 16949673 17344521 17378257 25053197 36093303 50849019 52033563 52134771 75159591 156404313 225478773 469212939 610912573 676436319 1832737719 5498213157 7941863449 16494639471 23825590347 71476771041 214430313123