Search a number
-
+
110002220011020 = 223529835471392473
BaseRepresentation
bin11001000000101111100011…
…001111111000111000001100
3112102111002221211220000201110
4121000233203033320320030
5103404234021310323040
61025542153334212020
732112253362352101
oct3100574317707014
9472432854800643
10110002220011020
1132060752498347
1210407200ab4010
13494c21b1bb24c
141d241c8b0aaa8
15cab624583980
hex640be33f8e0c

110002220011020 has 192 divisors, whose sum is σ = 323055750366720. Its totient is φ = 27930002860032.

The previous prime is 110002220011007. The next prime is 110002220011097. The reversal of 110002220011020 is 20110022200011.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 110002220010987 and 110002220011005.

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 63 ways as a sum of consecutive naturals, for example, 78301504 + ... + 79693976.

It is an arithmetic number, because the mean of its divisors is an integer number (1682582033160).

Almost surely, 2110002220011020 is an apocalyptic number.

110002220011020 is a gapful number since it is divisible by the number (10) 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 110002220011020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161527875183360).

110002220011020 is an abundant number, since it is smaller than the sum of its proper divisors (213053530355700).

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

110002220011020 is a wasteful number, since it uses less digits than its factorization.

110002220011020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1393144 (or 1393142 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 110002220011020 its reverse (20110022200011), we get a palindrome (130112242211031).

It can be divided in two parts, 110002 and 220011020, that added together give a palindrome (220121022).

The spelling of 110002220011020 in words is "one hundred ten trillion, two billion, two hundred twenty million, eleven thousand, twenty".