Search a number
-
+
334410301242100 = 22525483913766751
BaseRepresentation
bin100110000001001001111011…
…1001101101111101011110100
31121212001022102212111201212101
41030002103313031233223310
5322312434244104221400
63143121545505031444
7130303230003200266
oct11402236715575364
91555038385451771
10334410301242100
119760a680aa1166
123160ab59325584
13114799aa1ac545
145c8178b461b36
15289dba555156a
hex13024f736faf4

334410301242100 has 72 divisors (see below), whose sum is σ = 725893012873728. Its totient is φ = 133723083840000.

The previous prime is 334410301242047. The next prime is 334410301242107. The reversal of 334410301242100 is 1242103014433.

It is a happy number.

It is a super-2 number, since 2×3344103012421002 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (334410301242107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5009783725 + ... + 5009850475.

It is an arithmetic number, because the mean of its divisors is an integer number (10081847401024).

Almost surely, 2334410301242100 is an apocalyptic number.

It is an amenable number.

334410301242100 is an abundant number, since it is smaller than the sum of its proper divisors (391482711631628).

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

334410301242100 is a wasteful number, since it uses less digits than its factorization.

334410301242100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81385 (or 81378 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 334410301242100 its reverse (1242103014433), we get a palindrome (335652404256533).

The spelling of 334410301242100 in words is "three hundred thirty-four trillion, four hundred ten billion, three hundred one million, two hundred forty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 5483 9137 10966 18274 21932 27415 36548 45685 54830 66751 91370 109660 133502 137075 182740 228425 267004 274150 333755 456850 548300 667510 913700 1335020 1668775 3337550 6675100 50098171 100196342 200392684 250490855 365995733 500981710 609903887 731991466 1001963420 1219807774 1252454275 1463982932 1829978665 2439615548 2504908550 3049519435 3659957330 5009817100 6099038870 7319914660 9149893325 12198077740 15247597175 18299786650 30495194350 36599573300 60990388700 3344103012421 6688206024842 13376412049684 16720515062105 33441030124210 66882060248420 83602575310525 167205150621050 334410301242100