Search a number
-
+
110202021102120 = 233531371495373517
BaseRepresentation
bin11001000011101001101000…
…010100100100001000101000
3112110012012200022220002111120
4121003221220110210020220
5103421022214400231440
61030214035401055240
732132555546534553
oct3103515024441050
9473165608802446
10110202021102120
1132128461a51322
1210439a81a87520
13496501024593c
141d2db4061169a
15cb191a316dd0
hex643a68524228

110202021102120 has 256 divisors, whose sum is σ = 352846685952000. Its totient is φ = 27484889518080.

The previous prime is 110202021102071. The next prime is 110202021102149. The reversal of 110202021102120 is 21201120202011.

110202021102120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 110202021102120.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 17821602 + ... + 23195118.

It is an arithmetic number, because the mean of its divisors is an integer number (1378307367000).

Almost surely, 2110202021102120 is an apocalyptic number.

110202021102120 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 110202021102120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176423342976000).

110202021102120 is an abundant number, since it is smaller than the sum of its proper divisors (242644664849880).

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

110202021102120 is a wasteful number, since it uses less digits than its factorization.

110202021102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5373748 (or 5373744 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 110202021102120 its reverse (21201120202011), we get a palindrome (131403141304131).

The spelling of 110202021102120 in words is "one hundred ten trillion, two hundred two billion, twenty-one million, one hundred two thousand, one hundred twenty".