Search a number
-
+
110004040022100 = 2235271573537391279
BaseRepresentation
bin11001000000110001001111…
…101110101011100001010100
3112102111021122200120011120020
4121000301033232223201110
5103404301233221201400
61025543054111305140
732112346442242620
oct3100611756534124
9472437580504506
10110004040022100
11320614a687a634
121040762a51b1b0
13494c44b296793
141d2431c712180
15cab6ce2412a0
hex640c4fbab854

110004040022100 has 576 divisors, whose sum is σ = 367884720537600. Its totient is φ = 24859690352640.

The previous prime is 110004040022099. The next prime is 110004040022153. The reversal of 110004040022100 is 1220040400011.

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 110004040022100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 86007849261 + ... + 86007850539.

Almost surely, 2110004040022100 is an apocalyptic number.

110004040022100 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 110004040022100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183942360268800).

110004040022100 is an abundant number, since it is smaller than the sum of its proper divisors (257880680515500).

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

110004040022100 is a wasteful number, since it uses less digits than its factorization.

110004040022100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2552 (or 2545 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 110004040022100 its reverse (1220040400011), we get a palindrome (111224080422111).

The spelling of 110004040022100 in words is "one hundred ten trillion, four billion, forty million, twenty-two thousand, one hundred".