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213300020 = 22517627353
BaseRepresentation
bin11001011011010…
…11001100110100
3112212100202121202
430231223030310
5414101100040
633055432032
75200006643
oct1455531464
9485322552
10213300020
11aa44750a
125b525618
1335262c3b
142048535a
1513ad5015
hexcb6b334

213300020 has 24 divisors (see below), whose sum is σ = 474279624. Its totient is φ = 80301056.

The previous prime is 213300019. The next prime is 213300067. The reversal of 213300020 is 20003312.

It can be written as a sum of positive squares in 4 ways, for example, as 33686416 + 179613604 = 5804^2 + 13402^2 .

It is a junction number, because it is equal to n+sod(n) for n = 213299974 and 213300010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 313337 + ... + 314016.

It is an arithmetic number, because the mean of its divisors is an integer number (19761651).

Almost surely, 2213300020 is an apocalyptic number.

213300020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213300020 is an abundant number, since it is smaller than the sum of its proper divisors (260979604).

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

213300020 is a wasteful number, since it uses less digits than its factorization.

213300020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627379 (or 627377 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 213300020 is about 14604.7944182724. The cubic root of 213300020 is about 597.4895290614.

Adding to 213300020 its reverse (20003312), we get a palindrome (233303332).

The spelling of 213300020 in words is "two hundred thirteen million, three hundred thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 627353 1254706 2509412 3136765 6273530 10665001 12547060 21330002 42660004 53325005 106650010 213300020