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2120033331 = 36131713159
BaseRepresentation
bin111111001011101…
…0010010000110011
312110202012212000000
41332113102100303
513320212031311
6550211401043
7103351662123
oct17627222063
95422185000
102120033331
11998781469
124b1bb3183
1327a2b34c0
141617c2c83
15c61c3056
hex7e5d2433

2120033331 has 56 divisors (see below), whose sum is σ = 3624737760. Its totient is φ = 1227799296.

The previous prime is 2120033327. The next prime is 2120033339. The reversal of 2120033331 is 1333300212.

It is not a de Polignac number, because 2120033331 - 22 = 2120033327 is a prime.

It is a super-2 number, since 2×21200333312 = 8989082649101911122, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2120033339) 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 55 ways as a sum of consecutive naturals, for example, 154530 + ... + 167688.

It is an arithmetic number, because the mean of its divisors is an integer number (64727460).

Almost surely, 22120033331 is an apocalyptic number.

2120033331 is a deficient number, since it is larger than the sum of its proper divisors (1504704429).

2120033331 is a wasteful number, since it uses less digits than its factorization.

2120033331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13207 (or 13192 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 2120033331 is about 46043.8196829933. The cubic root of 2120033331 is about 1284.6383900762.

Adding to 2120033331 its reverse (1333300212), we get a palindrome (3453333543).

The spelling of 2120033331 in words is "two billion, one hundred twenty million, thirty-three thousand, three hundred thirty-one".

Divisors: 1 3 9 13 17 27 39 51 81 117 153 221 243 351 459 663 729 1053 1377 1989 3159 4131 5967 9477 12393 13159 17901 39477 53703 118431 161109 171067 223703 355293 513201 671109 1065879 1539603 2013327 2908139 3197637 4618809 6039981 8724417 9592911 13856427 18119943 26173251 41569281 54359829 78519753 124707843 163079487 235559259 706677777 2120033331