Search a number
-
+
10122221300 = 2252101222213
BaseRepresentation
bin10010110110101010…
…01101011011110100
3222010102202010020012
421123111031123310
5131212242040200
64352230155352
7505560314162
oct113325153364
928112663205
1010122221300
114324803754
121b65ab2b58
13c54111479
146c049a232
153e39a1a35
hex25b54d6f4

10122221300 has 18 divisors (see below), whose sum is σ = 21965220438. Its totient is φ = 4048888480.

The previous prime is 10122221297. The next prime is 10122221353. The reversal of 10122221300 is 312222101.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 66945124 + 10055276176 = 8182^2 + 100276^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 50611007 + ... + 50611206.

Almost surely, 210122221300 is an apocalyptic number.

10122221300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10122221300 is an abundant number, since it is smaller than the sum of its proper divisors (11842999138).

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

10122221300 is a wasteful number, since it uses less digits than its factorization.

10122221300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101222227 (or 101222220 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 10122221300 its reverse (312222101), we get a palindrome (10434443401).

The spelling of 10122221300 in words is "ten billion, one hundred twenty-two million, two hundred twenty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 101222213 202444426 404888852 506111065 1012222130 2024444260 2530555325 5061110650 10122221300