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2120313302229 = 329113941229199
BaseRepresentation
bin11110110110101100100…
…001010110110011010101
321111200220021112212022210
4132312230201112303111
5234214400201132404
64302020344344033
7306121224462033
oct36665441266325
97450807485283
102120313302229
11748246645571
122a2b20775019
13124c38626175
14748a366d553
153a24a71d689
hex1edac856cd5

2120313302229 has 32 divisors (see below), whose sum is σ = 2953599552000. Its totient is φ = 1351278064640.

The previous prime is 2120313302209. The next prime is 2120313302251. The reversal of 2120313302229 is 9222033130212.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 2120313302229 - 28 = 2120313301973 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2120313302196 and 2120313302205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2120313302209) 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, 9136372 + ... + 9365570.

It is an arithmetic number, because the mean of its divisors is an integer number (92299986000).

Almost surely, 22120313302229 is an apocalyptic number.

2120313302229 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

It is an amenable number.

2120313302229 is a deficient number, since it is larger than the sum of its proper divisors (833286249771).

2120313302229 is a wasteful number, since it uses less digits than its factorization.

2120313302229 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230285.

The product of its (nonzero) digits is 7776, while the sum is 30.

The spelling of 2120313302229 in words is "two trillion, one hundred twenty billion, three hundred thirteen million, three hundred two thousand, two hundred twenty-nine".

Divisors: 1 3 29 87 113 339 941 2823 3277 9831 27289 81867 106333 229199 318999 687597 3083657 6646771 9250971 19940313 25899487 77698461 215676259 647028777 751085123 2253255369 6254611511 18763834533 24371417267 73114251801 706771100743 2120313302229