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1300042220 = 225433314567
BaseRepresentation
bin100110101111101…
…0001000111101100
310100121020222122212
41031133101013230
510130302322340
6333000225552
744134114361
oct11537210754
93317228585
101300042220
11607926a64
1230346b2b8
13179451269
14c4932468
15791eca65
hex4d7d11ec

1300042220 has 48 divisors (see below), whose sum is σ = 2802632448. Its totient is φ = 506278080.

The previous prime is 1300042193. The next prime is 1300042223. The reversal of 1300042220 is 222400031.

It is a junction number, because it is equal to n+sod(n) for n = 1300042195 and 1300042204.

It is not an unprimeable number, because it can be changed into a prime (1300042223) 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 15 ways as a sum of consecutive naturals, for example, 282377 + ... + 286943.

It is an arithmetic number, because the mean of its divisors is an integer number (58388176).

Almost surely, 21300042220 is an apocalyptic number.

1300042220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1300042220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1401316224).

1300042220 is an abundant number, since it is smaller than the sum of its proper divisors (1502590228).

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

1300042220 is a wasteful number, since it uses less digits than its factorization.

1300042220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4950 (or 4948 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 1300042220 is about 36056.0982359434. The cubic root of 1300042220 is about 1091.4046979608.

Adding to 1300042220 its reverse (222400031), we get a palindrome (1522442251).

The spelling of 1300042220 in words is "one billion, three hundred million, forty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 43 86 172 215 331 430 662 860 1324 1655 3310 4567 6620 9134 14233 18268 22835 28466 45670 56932 71165 91340 142330 196381 284660 392762 785524 981905 1511677 1963810 3023354 3927620 6046708 7558385 15116770 30233540 65002111 130004222 260008444 325010555 650021110 1300042220