Search a number
-
+
110000000100 = 223522331253313
BaseRepresentation
bin110011001110010000…
…0101100110001100100
3101111221002101222111210
41212130200230301210
53300240000000400
6122311105431420
710642621400514
oct1463440546144
9344832358453
10110000000100
11427181501a1
121939a93b570
13a4b04c9c73
1454771c3844
152cdc0e7950
hex199c82cc64

110000000100 has 432 divisors, whose sum is σ = 350754800256. Its totient is φ = 26555443200.

The previous prime is 110000000087. The next prime is 110000000101. The reversal of 110000000100 is 1000000011.

It is a Harshad number since it is a multiple of its sum of digits (3).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (110000000101) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 351437544 + ... + 351437856.

It is an arithmetic number, because the mean of its divisors is an integer number (811932408).

Almost surely, 2110000000100 is an apocalyptic number.

110000000100 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 110000000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175377400128).

110000000100 is an abundant number, since it is smaller than the sum of its proper divisors (240754800156).

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

110000000100 is a wasteful number, since it uses less digits than its factorization.

110000000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 3.

Adding to 110000000100 its reverse (1000000011), we get a palindrome (111000000111).

The spelling of 110000000100 in words is "one hundred ten billion, one hundred", and thus it is an aban number.