Search a number
-
+
110213211020 = 2251117231498599
BaseRepresentation
bin110011010100100111…
…0000010001110001100
3101112110221121012220112
41212221032002032030
53301204040223040
6122344203335152
710651120556633
oct1465116021614
9345427535815
10110213211020
1142817536770
121943a2214b8
13a51572b483
14549764451a
152d00bb1365
hex19a938238c

110213211020 has 192 divisors, whose sum is σ = 280869120000. Its totient is φ = 35833712640.

The previous prime is 110213211019. The next prime is 110213211029. The reversal of 110213211020 is 20112312011.

It is a junction number, because it is equal to n+sod(n) for n = 110213210986 and 110213211004.

It is not an unprimeable number, because it can be changed into a prime (110213211029) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12812681 + ... + 12821279.

It is an arithmetic number, because the mean of its divisors is an integer number (1462860000).

Almost surely, 2110213211020 is an apocalyptic number.

110213211020 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 110213211020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140434560000).

110213211020 is an abundant number, since it is smaller than the sum of its proper divisors (170655908980).

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

110213211020 is a wasteful number, since it uses less digits than its factorization.

110213211020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8808 (or 8806 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 110213211020 its reverse (20112312011), we get a palindrome (130325523031).

The spelling of 110213211020 in words is "one hundred ten billion, two hundred thirteen million, two hundred eleven thousand, twenty".