Search a number
-
+
10010211220 = 2251134429297
BaseRepresentation
bin10010101001010011…
…11011001110010100
3221211121222102021201
421110221323032110
5131000103224340
64333145322244
7503030251162
oct112451731624
927747872251
1010010211220
114277559939
121b34496384
13c36b54209
146ad660232
153d8c2879a
hex254a7b394

10010211220 has 24 divisors (see below), whose sum is σ = 21207478824. Its totient is φ = 3968649216.

The previous prime is 10010211217. The next prime is 10010211221. The reversal of 10010211220 is 2211201001.

10010211220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 58951684 + 9951259536 = 7678^2 + 99756^2 .

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 = 10010211197 and 10010211206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10010211221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2212389 + ... + 2216908.

It is an arithmetic number, because the mean of its divisors is an integer number (883644951).

Almost surely, 210010211220 is an apocalyptic number.

10010211220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10010211220 is an abundant number, since it is smaller than the sum of its proper divisors (11197267604).

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

10010211220 is a wasteful number, since it uses less digits than its factorization.

10010211220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4429419 (or 4429417 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10010211220 its reverse (2211201001), we get a palindrome (12221412221).

The spelling of 10010211220 in words is "ten billion, ten million, two hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 113 226 452 565 1130 2260 4429297 8858594 17717188 22146485 44292970 88585940 500510561 1001021122 2002042244 2502552805 5005105610 10010211220