Search a number
-
+
110002301010 = 232571961791907
BaseRepresentation
bin110011001110010100…
…1011110100001010010
3101111221020201212202200
41212130221132201102
53300241042113020
6122311231024030
710642650062640
oct1463451364122
9344836655680
10110002301010
1142719481978
121939b66b016
13a4b0b24354
145477622190
152cdc3ee590
hex199ca5e852

110002301010 has 384 divisors, whose sum is σ = 354320179200. Its totient is φ = 23120847360.

The previous prime is 110002300987. The next prime is 110002301051. The reversal of 110002301010 is 10103200011.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 110002300983 and 110002301001.

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, 57682477 + ... + 57684383.

It is an arithmetic number, because the mean of its divisors is an integer number (922708800).

Almost surely, 2110002301010 is an apocalyptic number.

110002301010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 110002301010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177160089600).

110002301010 is an abundant number, since it is smaller than the sum of its proper divisors (244317878190).

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

110002301010 is a wasteful number, since it uses less digits than its factorization.

110002301010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2086 (or 2083 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 110002301010 its reverse (10103200011), we get a palindrome (120105501021).

The spelling of 110002301010 in words is "one hundred ten billion, two million, three hundred one thousand, ten".