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2013322420 = 225313321617
BaseRepresentation
bin111100000000000…
…1101110010110100
312012022102101011001
41320000031302310
513110402304140
6531440253044
7100614646444
oct17000156264
95168371131
102013322420
11943516a2a
12482311184
13261160255
14151566124
15bbb44e9a
hex7800dcb4

2013322420 has 24 divisors (see below), whose sum is σ = 4241498184. Its totient is φ = 802753536.

The previous prime is 2013322349. The next prime is 2013322433. The reversal of 2013322420 is 242233102.

It can be written as a sum of positive squares in 4 ways, for example, as 3952144 + 2009370276 = 1988^2 + 44826^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 154549 + ... + 167068.

It is an arithmetic number, because the mean of its divisors is an integer number (176729091).

Almost surely, 22013322420 is an apocalyptic number.

2013322420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2013322420 is an abundant number, since it is smaller than the sum of its proper divisors (2228175764).

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

2013322420 is a wasteful number, since it uses less digits than its factorization.

2013322420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321939 (or 321937 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 2013322420 is about 44870.0615109897. The cubic root of 2013322420 is about 1262.7123940281.

Adding to 2013322420 its reverse (242233102), we get a palindrome (2255555522).

The spelling of 2013322420 in words is "two billion, thirteen million, three hundred twenty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 313 626 1252 1565 3130 6260 321617 643234 1286468 1608085 3216170 6432340 100666121 201332242 402664484 503330605 1006661210 2013322420