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212211303112212 = 223101507734487263
BaseRepresentation
bin110000010000000101001011…
…010101101101111000010100
31000211101012110120210102212220
4300100011023111231320110
5210303332222044042322
62031200305442342340
762461521630211125
oct6020051325557024
91024335416712786
10212211303112212
11616873432a68a8
121b973b8005a9b0
1391545949427c1
143a5912093804c
1519801828e955c
hexc1014b56de14

212211303112212 has 48 divisors (see below), whose sum is σ = 500160788746752. Its totient is φ = 70022936764800.

The previous prime is 212211303112183. The next prime is 212211303112219.

212211303112212 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212211303112219) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11090308 + ... + 23396955.

It is an arithmetic number, because the mean of its divisors is an integer number (10420016432224).

Almost surely, 2212211303112212 is an apocalyptic number.

It is an amenable number.

212211303112212 is an abundant number, since it is smaller than the sum of its proper divisors (287949485634540).

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

212211303112212 is a wasteful number, since it uses less digits than its factorization.

212211303112212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34492448 (or 34492446 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

It can be divided in two parts, 21221130 and 3112212, that added together give a palindrome (24333342).

The spelling of 212211303112212 in words is "two hundred twelve trillion, two hundred eleven billion, three hundred three million, one hundred twelve thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 101 202 303 404 606 1212 5077 10154 15231 20308 30462 60924 512777 1025554 1538331 2051108 3076662 6153324 34487263 68974526 103461789 137949052 206923578 413847156 3483213563 6966427126 10449640689 13932854252 20899281378 41798562756 175091834251 350183668502 525275502753 700367337004 1050551005506 2101102011012 17684275259351 35368550518702 53052825778053 70737101037404 106105651556106 212211303112212