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2002212002120 = 2351126571712639
BaseRepresentation
bin11101001000101101001…
…000101001100101001000
321002102001121010012102112
4131020231020221211020
5230301012233031440
64131445315521452
7264440452132601
oct35105510514510
97072047105375
102002212002120
11702151528810
122840608b9288
13116a66908975
146cc9c572da8
15371372ba965
hex1d22d229948

2002212002120 has 64 divisors (see below), whose sum is σ = 4916372889600. Its totient is φ = 727802644480.

The previous prime is 2002212002099. The next prime is 2002212002143. The reversal of 2002212002120 is 212002122002.

It is a junction number, because it is equal to n+sod(n) for n = 2002212002095 and 2002212002104.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 312761 + ... + 2025399.

It is an arithmetic number, because the mean of its divisors is an integer number (76818326400).

Almost surely, 22002212002120 is an apocalyptic number.

2002212002120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002212002120 is an abundant number, since it is smaller than the sum of its proper divisors (2914160887480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2002212002120 is a wasteful number, since it uses less digits than its factorization.

2002212002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1715318 (or 1715314 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 2002212002120 its reverse (212002122002), we get a palindrome (2214214124122).

The spelling of 2002212002120 in words is "two trillion, two billion, two hundred twelve million, two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 2657 5314 10628 13285 21256 26570 29227 53140 58454 106280 116908 146135 233816 292270 584540 1169080 1712639 3425278 6850556 8563195 13701112 17126390 18839029 34252780 37678058 68505560 75356116 94195145 150712232 188390290 376780580 753561160 4550481823 9100963646 18201927292 22752409115 36403854584 45504818230 50055300053 91009636460 100110600106 182019272920 200221200212 250276500265 400442400424 500553000530 1001106001060 2002212002120