Search a number
-
+
2010222022100 = 225220102220221
BaseRepresentation
bin11101010000001010100…
…100011100110111010100
321010011201211101101011012
4131100022210130313110
5230413413314201400
64135252214231352
7265143114154535
oct35201244346724
97104654341135
102010222022100
11705591a1a336
12285717355558
13117742249766
146d41c2c868c
15374555e4d35
hex1d40a91cdd4

2010222022100 has 18 divisors (see below), whose sum is σ = 4362181788174. Its totient is φ = 804088808800.

The previous prime is 2010222022051. The next prime is 2010222022103. The reversal of 2010222022100 is 12202220102.

It can be written as a sum of positive squares in 3 ways, for example, as 233061079696 + 1777160942404 = 482764^2 + 1333102^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2010222022103) by changing a digit.

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, 10051110011 + ... + 10051110210.

Almost surely, 22010222022100 is an apocalyptic number.

2010222022100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2010222022100 is an abundant number, since it is smaller than the sum of its proper divisors (2351959766074).

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

2010222022100 is a wasteful number, since it uses less digits than its factorization.

2010222022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20102220235 (or 20102220228 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 2010222022100 its reverse (12202220102), we get a palindrome (2022424242202).

The spelling of 2010222022100 in words is "two trillion, ten billion, two hundred twenty-two million, twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 20102220221 40204440442 80408880884 100511101105 201022202210 402044404420 502555505525 1005111011050 2010222022100