Search a number
-
+
334123032410202 = 23752319457781771
BaseRepresentation
bin100101111111000100001010…
…0101010000111100001011010
31121211000211221121112001112210
41023332020110222013201122
5322243232432244111302
63142342000241015550
7130243410135335040
oct11376102452074132
91554024847461483
10334123032410202
11975098672539a2
12315833476245b6
1311458888b483c9
145c718d90aa390
1528964908e066c
hex12fe214a8785a

334123032410202 has 64 divisors (see below), whose sum is σ = 765210341551104. Its totient is φ = 95276173639680.

The previous prime is 334123032410191. The next prime is 334123032410207. The reversal of 334123032410202 is 202014230321433.

It is a happy number.

It is a super-2 number, since 2×3341230324102022 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 334123032410202.

It is not an unprimeable number, because it can be changed into a prime (334123032410207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 427001577 + ... + 427783347.

It is an arithmetic number, because the mean of its divisors is an integer number (11956411586736).

Almost surely, 2334123032410202 is an apocalyptic number.

334123032410202 is an abundant number, since it is smaller than the sum of its proper divisors (431087309140902).

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

334123032410202 is a wasteful number, since it uses less digits than its factorization.

334123032410202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 801763.

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 334123032410202 its reverse (202014230321433), we get a palindrome (536137262731635).

The spelling of 334123032410202 in words is "three hundred thirty-four trillion, one hundred twenty-three billion, thirty-two million, four hundred ten thousand, two hundred two".

Divisors: 1 2 3 6 7 14 21 42 523 1046 1569 3138 3661 7322 10983 19457 21966 38914 58371 116742 136199 272398 408597 781771 817194 1563542 2345313 4690626 5472397 10176011 10944794 16417191 20352022 30528033 32834382 61056066 71232077 142464154 213696231 408866233 427392462 817732466 1226598699 2453197398 2862063631 5724127262 8586190893 15210918347 17172381786 30421836694 45632755041 91265510082 106476428429 212952856858 319429285287 638858570574 7955310295481 15910620590962 23865930886443 47731861772886 55687172068367 111374344136734 167061516205101 334123032410202