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2120120031321 = 335913099101603
BaseRepresentation
bin11110110110100001000…
…000000101100001011001
321111200101210212200111000
4132312201000011201121
5234214001212000241
64301545242055213
7306113356632015
oct36664100054131
97450353780430
102120120031321
11748157539246
122a2a87aaa509
13124c07586996
1474885b1d545
153a238792eb6
hex1eda1005859

2120120031321 has 32 divisors (see below), whose sum is σ = 3194429760000. Its totient is φ = 1389337447824.

The previous prime is 2120120031317. The next prime is 2120120031349. The reversal of 2120120031321 is 1231300210212.

2120120031321 is a `hidden beast` number, since 212 + 0 + 120 + 0 + 313 + 21 = 666.

It is not a de Polignac number, because 2120120031321 - 22 = 2120120031317 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2120120031294 and 2120120031303.

It is not an unprimeable number, because it can be changed into a prime (2120120031311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20815906 + ... + 20917508.

It is an arithmetic number, because the mean of its divisors is an integer number (99825930000).

Almost surely, 22120120031321 is an apocalyptic number.

It is an amenable number.

2120120031321 is a deficient number, since it is larger than the sum of its proper divisors (1074309728679).

2120120031321 is a wasteful number, since it uses less digits than its factorization.

2120120031321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114770 (or 114764 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 2120120031321 its reverse (1231300210212), we get a palindrome (3351420241533).

The spelling of 2120120031321 in words is "two trillion, one hundred twenty billion, one hundred twenty million, thirty-one thousand, three hundred twenty-one".

Divisors: 1 3 9 27 59 177 531 1593 13099 39297 101603 117891 304809 353673 772841 914427 2318523 2743281 5994577 6955569 17983731 20866707 53951193 161853579 1330897697 3992693091 11978079273 35934237819 78522964123 235568892369 706706677107 2120120031321