Search a number
-
+
2012211202120 = 23577186468579
BaseRepresentation
bin11101010010000001001…
…000100100100001001000
321010100212110101012011021
4131102001020210201020
5230432002031431440
64140221433242224
7265243320003310
oct35220110444110
97110773335137
102012211202120
11706412846769
12285b91563374
1311799b3a5c62
146d56a568440
153752006b84a
hex1d481224848

2012211202120 has 32 divisors (see below), whose sum is σ = 5174257377600. Its totient is φ = 689900983488.

The previous prime is 2012211202103. The next prime is 2012211202207. The reversal of 2012211202120 is 212021122102.

It is a happy number.

It is a super-3 number, since 3×20122112021203 (a number of 38 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2012211202094 and 2012211202103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3593234010 + ... + 3593234569.

It is an arithmetic number, because the mean of its divisors is an integer number (161695543050).

Almost surely, 22012211202120 is an apocalyptic number.

2012211202120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2012211202120 is an abundant number, since it is smaller than the sum of its proper divisors (3162046175480).

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

2012211202120 is a wasteful number, since it uses less digits than its factorization.

2012211202120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7186468597 (or 7186468593 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 2012211202120 its reverse (212021122102), we get a palindrome (2224232324222).

The spelling of 2012211202120 in words is "two trillion, twelve billion, two hundred eleven million, two hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 7186468579 14372937158 28745874316 35932342895 50305280053 57491748632 71864685790 100610560106 143729371580 201221120212 251526400265 287458743160 402442240424 503052800530 1006105601060 2012211202120