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220013210112 = 2931723379901
BaseRepresentation
bin1100110011100111001…
…1110010101000000000
3210000220002200002121120
43030321303302220000
512101041340210422
6245023410352240
721616063300233
oct3147163625000
9700802602546
10220013210112
11853417a3173
1236781b8b680
1317993670837
14a91204541a
155aca44e45c
hex3339cf2a00

220013210112 has 320 divisors, whose sum is σ = 665159641344. Its totient is φ = 64231833600.

The previous prime is 220013210111. The next prime is 220013210117. The reversal of 220013210112 is 211012310022.

It is a junction number, because it is equal to n+sod(n) for n = 220013210091 and 220013210100.

It is not an unprimeable number, because it can be changed into a prime (220013210111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22216362 + ... + 22226262.

Almost surely, 2220013210112 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 220013210112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332579820672).

220013210112 is an abundant number, since it is smaller than the sum of its proper divisors (445146431232).

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

220013210112 is a wasteful number, since it uses less digits than its factorization.

220013210112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9999 (or 9983 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 220013210112 its reverse (211012310022), we get a palindrome (431025520134).

The spelling of 220013210112 in words is "two hundred twenty billion, thirteen million, two hundred ten thousand, one hundred twelve".