Search a number
-
+
110201110102020 = 2235722931531017789
BaseRepresentation
bin11001000011101000110010…
…000001011000000000000100
3112110012010022211200111022010
4121003220302001120000010
5103421013333141231040
61030213405135134220
732132524145262600
oct3103506201300004
9473163284614263
10110201110102020
1132128034796483
1210439868974370
134964bc659a422
141d2da95630500
15cb18b5365e80
hex643a32058004

110201110102020 has 1152 divisors, whose sum is σ = 394445276467200. Its totient is φ = 22860085248000.

The previous prime is 110201110102009. The next prime is 110201110102067. The reversal of 110201110102020 is 20201011102011.

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 = 110201110101987 and 110201110102005.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 14148296286 + ... + 14148304074.

It is an arithmetic number, because the mean of its divisors is an integer number (342400413600).

Almost surely, 2110201110102020 is an apocalyptic number.

110201110102020 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 110201110102020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197222638233600).

110201110102020 is an abundant number, since it is smaller than the sum of its proper divisors (284244166365180).

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

110201110102020 is a wasteful number, since it uses less digits than its factorization.

110201110102020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8029 (or 8020 counting only the distinct ones).

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

Adding to 110201110102020 its reverse (20201011102011), we get a palindrome (130402121204031).

Subtracting from 110201110102020 its reverse (20201011102011), we obtain a palindrome (90000099000009).

The spelling of 110201110102020 in words is "one hundred ten trillion, two hundred one billion, one hundred ten million, one hundred two thousand, twenty".