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1300030120 = 235178921481
BaseRepresentation
bin100110101111100…
…1110001010101000
310100121020101001201
41031133032022220
510130301430440
6333000053544
744134034164
oct11537161250
93317211051
101300030120
11607918964
123034642b4
131794488bc
14c492bca4
15791e919a
hex4d7ce2a8

1300030120 has 64 divisors (see below), whose sum is σ = 3132075600. Its totient is φ = 483901440.

The previous prime is 1300030117. The next prime is 1300030129. The reversal of 1300030120 is 210300031.

It can be written as a sum of positive squares in 8 ways, for example, as 685287684 + 614742436 = 26178^2 + 24794^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1300030097 and 1300030106.

It is not an unprimeable number, because it can be changed into a prime (1300030129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49780 + ... + 71260.

Almost surely, 21300030120 is an apocalyptic number.

1300030120 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 1300030120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1566037800).

1300030120 is an abundant number, since it is smaller than the sum of its proper divisors (1832045480).

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

1300030120 is a wasteful number, since it uses less digits than its factorization.

1300030120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21598 (or 21594 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 1300030120 is about 36055.9304414683. The cubic root of 1300030120 is about 1091.4013119072.

Adding to 1300030120 its reverse (210300031), we get a palindrome (1510330151).

The spelling of 1300030120 in words is "one billion, three hundred million, thirty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 89 136 170 178 340 356 445 680 712 890 1513 1780 3026 3560 6052 7565 12104 15130 21481 30260 42962 60520 85924 107405 171848 214810 365177 429620 730354 859240 1460708 1825885 1911809 2921416 3651770 3823618 7303540 7647236 9559045 14607080 15294472 19118090 32500753 38236180 65001506 76472360 130003012 162503765 260006024 325007530 650015060 1300030120