Search a number
-
+
220020211310000 = 245461691521981
BaseRepresentation
bin110010000001101101110010…
…100010011101110110110000
31001212000201121211020111022012
4302001231302202131312300
5212314302343043410000
62055535520102102052
764225635641544443
oct6201556242356660
91055021554214265
10220020211310000
1164118058407772
122081548371a928
13959ca8096473a
143c4906c25165a
151a6836d4d1735
hexc81b7289ddb0

220020211310000 has 200 divisors, whose sum is σ = 542208146890608. Its totient is φ = 86439888000000.

The previous prime is 220020211309991. The next prime is 220020211310027. The reversal of 220020211310000 is 13112020022.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×2200202113100002 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 421249010 + ... + 421770990.

Almost surely, 2220020211310000 is an apocalyptic number.

220020211310000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220020211310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271104073445304).

220020211310000 is an abundant number, since it is smaller than the sum of its proper divisors (322187935580608).

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

220020211310000 is an equidigital number, since it uses as much as digits as its factorization.

220020211310000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522761 (or 522740 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 220020211310000 its reverse (13112020022), we get a palindrome (220033323330022).

The spelling of 220020211310000 in words is "two hundred twenty trillion, twenty billion, two hundred eleven million, three hundred ten thousand".