Search a number
-
+
10031010220 = 22571189163449
BaseRepresentation
bin10010101011110010…
…10001000110101100
3221220002010010011001
421111321101012230
5131020414311340
64335211210044
7503402115520
oct112571210654
927802103131
1010031010220
1142882754a0
121b3b446924
13c3b25720a
146b2315d80
153da98629a
hex255e511ac

10031010220 has 192 divisors, whose sum is σ = 26780544000. Its totient is φ = 3065610240.

The previous prime is 10031010173. The next prime is 10031010221. The reversal of 10031010220 is 2201013001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 10031010197 and 10031010206.

It is not an unprimeable number, because it can be changed into a prime (10031010221) 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, 22340556 + ... + 22341004.

It is an arithmetic number, because the mean of its divisors is an integer number (139482000).

Almost surely, 210031010220 is an apocalyptic number.

10031010220 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 10031010220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13390272000).

10031010220 is an abundant number, since it is smaller than the sum of its proper divisors (16749533780).

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

10031010220 is a wasteful number, since it uses less digits than its factorization.

10031010220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 728 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 10031010220 its reverse (2201013001), we get a palindrome (12232023221).

The spelling of 10031010220 in words is "ten billion, thirty-one million, ten thousand, two hundred twenty".