Search a number
-
+
110102020111200 = 253521316722793089
BaseRepresentation
bin11001000010001100011111…
…110011000011101101100000
3112102211122120002101101222010
4121002030133303003231200
5103412402414122024300
61030100100400512520
732122415461251225
oct3102143763035540
9472748502341863
10110102020111200
113209a005aa9787
121042261391b740
13495876447a170
141d28d753b394c
15cae015e83a50
hex64231fcc3b60

110102020111200 has 576 divisors, whose sum is σ = 389975594964480. Its totient is φ = 26820782653440.

The previous prime is 110102020111169. The next prime is 110102020111211. The reversal of 110102020111200 is 2111020201011.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1182714256 + ... + 1182807344.

It is an arithmetic number, because the mean of its divisors is an integer number (677040963480).

Almost surely, 2110102020111200 is an apocalyptic number.

110102020111200 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 110102020111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194987797482240).

110102020111200 is an abundant number, since it is smaller than the sum of its proper divisors (279873574853280).

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

110102020111200 is a wasteful number, since it uses less digits than its factorization.

110102020111200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93519 (or 93506 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 110102020111200 its reverse (2111020201011), we get a palindrome (112213040312211).

The spelling of 110102020111200 in words is "one hundred ten trillion, one hundred two billion, twenty million, one hundred eleven thousand, two hundred".