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220231122012 = 223211556139197
BaseRepresentation
bin1100110100011011001…
…1000011110001011100
3210001110021201011112200
43031012303003301130
512102013131401022
6245101153131500
721624350436006
oct3150663036134
9701407634480
10220231122012
11854437aa650
1236822b59b90
13179c98599a5
14a932d6b376
155ade645bac
hex3346cc3c5c

220231122012 has 36 divisors (see below), whose sum is σ = 607304004216. Its totient is φ = 66736703520.

The previous prime is 220231121989. The next prime is 220231122047. The reversal of 220231122012 is 210221132022.

220231122012 is a `hidden beast` number, since 220 + 231 + 12 + 201 + 2 = 666.

220231122012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×2202311220123 (a number of 35 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 278069203 + ... + 278069994.

Almost surely, 2220231122012 is an apocalyptic number.

220231122012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

220231122012 is an abundant number, since it is smaller than the sum of its proper divisors (387072882204).

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

220231122012 is a wasteful number, since it uses less digits than its factorization.

220231122012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556139218 (or 556139213 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 220231122012 its reverse (210221132022), we get a palindrome (430452254034).

It can be divided in two parts, 22023112 and 2012, that multiplied together give a palindrome (44310501344).

The spelling of 220231122012 in words is "two hundred twenty billion, two hundred thirty-one million, one hundred twenty-two thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 556139197 1112278394 1668417591 2224556788 3336835182 5005252773 6117531167 6673670364 10010505546 12235062334 18352593501 20021011092 24470124668 36705187002 55057780503 73410374004 110115561006 220231122012