Search a number
-
+
1301424120 = 2332517212651
BaseRepresentation
bin100110110010010…
…0010011111111000
310100200212012021100
41031210202133320
510131131032440
6333050011400
744151631263
oct11544423770
93320765240
101301424120
11608690227
12303a16b60
13179816259
14c4bb1cda
15793c2230
hex4d9227f8

1301424120 has 96 divisors (see below), whose sum is σ = 4478451120. Its totient is φ = 326630400.

The previous prime is 1301424119. The next prime is 1301424121. The reversal of 1301424120 is 214241031.

1301424120 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1301424119) and next prime (1301424121).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1301424093 and 1301424102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1301424121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 100206 + ... + 112445.

Almost surely, 21301424120 is an apocalyptic number.

1301424120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1301424120 is an abundant number, since it is smaller than the sum of its proper divisors (3177027000).

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

1301424120 is a wasteful number, since it uses less digits than its factorization.

1301424120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212685 (or 212678 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1301424120 is about 36075.2563400456. The cubic root of 1301424120 is about 1091.7912695279.

Adding to 1301424120 its reverse (214241031), we get a palindrome (1515665151).

The spelling of 1301424120 in words is "one billion, three hundred one million, four hundred twenty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 30 34 36 40 45 51 60 68 72 85 90 102 120 136 153 170 180 204 255 306 340 360 408 510 612 680 765 1020 1224 1530 2040 3060 6120 212651 425302 637953 850604 1063255 1275906 1701208 1913859 2126510 2551812 3189765 3615067 3827718 4253020 5103624 6379530 7230134 7655436 8506040 9569295 10845201 12759060 14460268 15310872 18075335 19138590 21690402 25518120 28920536 32535603 36150670 38277180 43380804 54226005 65071206 72301340 76554360 86761608 108452010 130142412 144602680 162678015 216904020 260284824 325356030 433808040 650712060 1301424120