Search a number
-
+
220031133112 = 2373234134253
BaseRepresentation
bin1100110011101011100…
…0001010010110111000
3210000221100101200100101
43030322320022112320
512101110432224422
6245025250445144
721616401526000
oct3147270122670
9700840350311
10220031133112
1185350924a6a
1236787b937b4
13179972a776b
14a91458d000
155acbcdec27
hex333ae0a5b8

220031133112 has 64 divisors (see below), whose sum is σ = 481337208000. Its totient is φ = 94256023680.

The previous prime is 220031133071. The next prime is 220031133173. The reversal of 220031133112 is 211331130022.

220031133112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 220031133112.

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 15 ways as a sum of consecutive naturals, for example, 6406578 + ... + 6440830.

It is an arithmetic number, because the mean of its divisors is an integer number (7520893875).

Almost surely, 2220031133112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220031133112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240668604000).

220031133112 is an abundant number, since it is smaller than the sum of its proper divisors (261306074888).

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

220031133112 is a wasteful number, since it uses less digits than its factorization.

220031133112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36621 (or 36603 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 220031133112 its reverse (211331130022), we get a palindrome (431362263134).

The spelling of 220031133112 in words is "two hundred twenty billion, thirty-one million, one hundred thirty-three thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 343 392 686 1372 2341 2744 4682 9364 16387 18728 32774 34253 65548 68506 114709 131096 137012 229418 239771 274024 458836 479542 802963 917672 959084 1605926 1678397 1918168 3211852 3356794 6423704 6713588 11748779 13427176 23497558 46995116 80186273 93990232 160372546 320745092 561303911 641490184 1122607822 2245215644 3929127377 4490431288 7858254754 15716509508 27503891639 31433019016 55007783278 110015566556 220031133112