Search a number
-
+
312230103210234 = 232112711581674553
BaseRepresentation
bin100011011111110001011110…
…0011000111101100011111010
31111221111220110201210220100100
41012333202330120331203322
5311411034222410211414
63024020310152420230
7122523611011510656
oct10677427430754372
91457456421726310
10312230103210234
1190539052492970
122b0283519a7676
131052b2319a46b1
145716036529a66
152616c4c918609
hex11bf8bc63d8fa

312230103210234 has 48 divisors (see below), whose sum is σ = 738270650729664. Its totient is φ = 94580282155200.

The previous prime is 312230103210227. The next prime is 312230103210241. The reversal of 312230103210234 is 432012301032213.

312230103210234 is a `hidden beast` number, since 3 + 1 + 2 + 2 + 301 + 0 + 321 + 0 + 2 + 34 = 666.

It is an interprime number because it is at equal distance from previous prime (312230103210227) and next prime (312230103210241).

It is a junction number, because it is equal to n+sod(n) for n = 312230103210198 and 312230103210207.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 290300499 + ... + 291374054.

It is an arithmetic number, because the mean of its divisors is an integer number (15380638556868).

Almost surely, 2312230103210234 is an apocalyptic number.

312230103210234 is an abundant number, since it is smaller than the sum of its proper divisors (426040547519430).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

312230103210234 is a wasteful number, since it uses less digits than its factorization.

312230103210234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581677283 (or 581677280 counting only the distinct ones).

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

Adding to 312230103210234 its reverse (432012301032213), we get a palindrome (744242404242447).

The spelling of 312230103210234 in words is "three hundred twelve trillion, two hundred thirty billion, one hundred three million, two hundred ten thousand, two hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 2711 5422 8133 16266 24399 29821 48798 59642 89463 178926 268389 536778 581674553 1163349106 1745023659 3490047318 5235070977 6398420083 10470141954 12796840166 19195260249 38390520498 57585780747 115171561494 1576919713183 3153839426366 4730759139549 9461518279098 14192277418647 17346116845013 28384554837294 34692233690026 52038350535039 104076701070078 156115051605117 312230103210234