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2120010093 = 321573174733
BaseRepresentation
bin111111001011100…
…1100100101101101
312110202011200010100
41332113030211231
513320210310333
6550211101313
7103351534305
oct17627144555
95422150110
102120010093
11998765a63
124b1ba1839
1327a2a5a56
141617b8605
15c61bb213
hex7e5cc96d

2120010093 has 24 divisors (see below), whose sum is σ = 3092116248. Its totient is φ = 1399612032.

The previous prime is 2120010091. The next prime is 2120010107. The reversal of 2120010093 is 3900100212.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 55398249 + 2064611844 = 7443^2 + 45438^2 .

It is not a de Polignac number, because 2120010093 - 21 = 2120010091 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2120010091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 445555 + ... + 450287.

It is an arithmetic number, because the mean of its divisors is an integer number (128838177).

Almost surely, 22120010093 is an apocalyptic number.

It is an amenable number.

2120010093 is a deficient number, since it is larger than the sum of its proper divisors (972106155).

2120010093 is a wasteful number, since it uses less digits than its factorization.

2120010093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5213 (or 5210 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 2120010093 is about 46043.5673357311. The cubic root of 2120010093 is about 1284.6336963550.

The spelling of 2120010093 in words is "two billion, one hundred twenty million, ten thousand, ninety-three".

Divisors: 1 3 9 157 317 471 951 1413 2853 4733 14199 42597 49769 149307 447921 743081 1500361 2229243 4501083 6687729 13503249 235556677 706670031 2120010093