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2120111001 = 324347911437
BaseRepresentation
bin111111001011110…
…0101001110011001
312110202100210112200
41332113211032121
513320222023001
6550213200413
7103352434431
oct17627451631
95422323480
102120111001
11998824858
124b2030109
1327a30c968
141618032c1
15c61db086
hex7e5e5399

2120111001 has 24 divisors (see below), whose sum is σ = 3140417280. Its totient is φ = 1377534816.

The previous prime is 2120110973. The next prime is 2120111011. The reversal of 2120111001 is 1001110212.

Adding to 2120111001 its reverse (1001110212), we get a palindrome (3121221213).

It is a happy number.

It is not a de Polignac number, because 2120111001 - 25 = 2120110969 is a prime.

It is a super-2 number, since 2×21201110012 = 8989741313122444002, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (2120111011) 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, 179655 + ... + 191091.

It is an arithmetic number, because the mean of its divisors is an integer number (130850720).

Almost surely, 22120111001 is an apocalyptic number.

It is an amenable number.

2120111001 is a deficient number, since it is larger than the sum of its proper divisors (1020306279).

2120111001 is a wasteful number, since it uses less digits than its factorization.

2120111001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11965 (or 11962 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 2120111001 is about 46044.6631109404. The cubic root of 2120111001 is about 1284.6540779813.

The spelling of 2120111001 in words is "two billion, one hundred twenty million, one hundred eleven thousand, one".

Divisors: 1 3 9 43 129 387 479 1437 4311 11437 20597 34311 61791 102933 185373 491791 1475373 4426119 5478323 16434969 49304907 235567889 706703667 2120111001