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220202120220012 = 223274679186753139
BaseRepresentation
bin110010000100010111001101…
…001001111000110101101100
31001212200010011100221120210200
4302010113031021320311230
5212330242420234020022
62100155242453233500
764245035550014040
oct6204271511706554
91055603140846720
10220202120220012
1164188216230227
1220844790632890
1395b3c80c0c228
143c53ba7794020
151a6ce685a7bac
hexc845cd278d6c

220202120220012 has 72 divisors (see below), whose sum is σ = 636275418105600. Its totient is φ = 62901444928608.

The previous prime is 220202120220001. The next prime is 220202120220013. The reversal of 220202120220012 is 210022021202022.

220202120220012 is a `hidden beast` number, since 220 + 2 + 0 + 212 + 0 + 220 + 0 + 12 = 666.

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 (220202120220013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 92197462 + ... + 94555677.

It is an arithmetic number, because the mean of its divisors is an integer number (8837158584800).

Almost surely, 2220202120220012 is an apocalyptic number.

It is an amenable number.

220202120220012 is an abundant number, since it is smaller than the sum of its proper divisors (416073297885588).

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

220202120220012 is a wasteful number, since it uses less digits than its factorization.

220202120220012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186757835 (or 186757830 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 220202120220012 its reverse (210022021202022), we get a palindrome (430224141422034).

The spelling of 220202120220012 in words is "two hundred twenty trillion, two hundred two billion, one hundred twenty million, two hundred twenty thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 4679 9358 14037 18716 28074 32753 42111 56148 65506 84222 98259 131012 168444 196518 294777 393036 589554 1179108 186753139 373506278 560259417 747012556 1120518834 1307271973 1680778251 2241037668 2614543946 3361556502 3921815919 5229087892 6723113004 7843631838 11765447757 15687263676 23530895514 47061791028 873817937381 1747635874762 2621453812143 3495271749524 5242907624286 6116725561667 7864361436429 10485815248572 12233451123334 15728722872858 18350176685001 24466902246668 31457445745716 36700353370002 55050530055003 73400706740004 110101060110006 220202120220012