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212112122002002 = 23292031280452763
BaseRepresentation
bin110000001110101000110011…
…101011110011101001010010
31000211000201110111001000020200
4300032220303223303221102
5210300221111213031002
62031042544051120030
762451411055532325
oct6016506353635122
91024021414030220
10212112122002002
1161649278133822
121b9589005a3016
13914811999ac41
143a543d255c7bc
15197c7ca518b1c
hexc0ea33af3a52

212112122002002 has 24 divisors (see below), whose sum is σ = 459626202354384. Its totient is φ = 70696357895544.

The previous prime is 212112122001947. The next prime is 212112122002007. The reversal of 212112122002002 is 200200221211212.

It is a happy number.

212112122002002 is a `hidden beast` number, since 2 + 121 + 121 + 220 + 0 + 200 + 2 = 666.

212112122002002 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (212112122002007) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 640060728 + ... + 640392035.

It is an arithmetic number, because the mean of its divisors is an integer number (19151091764766).

Almost surely, 2212112122002002 is an apocalyptic number.

212112122002002 is an abundant number, since it is smaller than the sum of its proper divisors (247514080352382).

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

212112122002002 is a wasteful number, since it uses less digits than its factorization.

212112122002002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1280461974 (or 1280461971 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 212112122002002 its reverse (200200221211212), we get a palindrome (412312343213214).

It can be divided in two parts, 21211212 and 2002002, that multiplied together give a palindrome (42464888846424).

The spelling of 212112122002002 in words is "two hundred twelve trillion, one hundred twelve billion, one hundred twenty-two million, two thousand, two".

Divisors: 1 2 3 6 9 18 9203 18406 27609 55218 82827 165654 1280452763 2560905526 3841358289 7682716578 11524074867 23048149734 11784006777889 23568013555778 35352020333667 70704040667334 106056061001001 212112122002002