Search a number
-
+
200131331333540 = 225130322373433007
BaseRepresentation
bin101101100000010010110100…
…111010011001110110100100
3222020121100221120201001110212
4231200102310322121312210
5202212422431310133130
61545351021523434552
760104003646243665
oct5540226472316644
9866540846631425
10200131331333540
115884a248141032
121a542961b25a58
1387893c3c1c629
14375c59dc4936c
151820d1dc31e95
hexb604b4e99da4

200131331333540 has 48 divisors (see below), whose sum is σ = 420786482038272. Its totient is φ = 79955313949056.

The previous prime is 200131331333509. The next prime is 200131331333543. The reversal of 200131331333540 is 45333133131002.

It is a super-3 number, since 3×2001313313335403 (a number of 44 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 200131331333497 and 200131331333506.

It is not an unprimeable number, because it can be changed into a prime (200131331333543) 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 15 ways as a sum of consecutive naturals, for example, 56579717 + ... + 60012723.

It is an arithmetic number, because the mean of its divisors is an integer number (8766385042464).

Almost surely, 2200131331333540 is an apocalyptic number.

200131331333540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200131331333540 is an abundant number, since it is smaller than the sum of its proper divisors (220655150704732).

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

200131331333540 is a wasteful number, since it uses less digits than its factorization.

200131331333540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3436556 (or 3436554 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 32.

Adding to 200131331333540 its reverse (45333133131002), we get a palindrome (245464464464542).

The spelling of 200131331333540 in words is "two hundred trillion, one hundred thirty-one billion, three hundred thirty-one million, three hundred thirty-three thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 1303 2237 2606 4474 5212 6515 8948 11185 13030 22370 26060 44740 2914811 3433007 5829622 6866014 11659244 13732028 14574055 17165035 29148110 34330070 58296220 68660140 4473208121 7679636659 8946416242 15359273318 17892832484 22366040605 30718546636 38398183295 44732081210 76796366590 89464162420 153592733180 10006566566677 20013133133354 40026266266708 50032832833385 100065665666770 200131331333540