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2303024130 = 2335111077247
BaseRepresentation
bin1000100101000101…
…0101110000000010
312221111112202012000
42021101111300002
514204033233010
61020305444430
7111033245031
oct21121256002
95844482160
102303024130
11a81aa7130
12543340716
132a9193794
1417bc18718
15d72bc7c0
hex89455c02

2303024130 has 128 divisors (see below), whose sum is σ = 6763253760. Its totient is φ = 553014720.

The previous prime is 2303024123. The next prime is 2303024159. The reversal of 2303024130 is 314203032.

2303024130 is a `hidden beast` number, since 230 + 302 + 4 + 130 = 666.

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

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 314167 + ... + 321413.

It is an arithmetic number, because the mean of its divisors is an integer number (52837920).

Almost surely, 22303024130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2303024130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3381626880).

2303024130 is an abundant number, since it is smaller than the sum of its proper divisors (4460229630).

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

2303024130 is a wasteful number, since it uses less digits than its factorization.

2303024130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7381 (or 7375 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 2303024130 is about 47989.8336108805. The cubic root of 2303024130 is about 1320.5844003226.

Adding to 2303024130 its reverse (314203032), we get a palindrome (2617227162).

It can be divided in two parts, 230302 and 4130, that added together give a palindrome (234432).

The spelling of 2303024130 in words is "two billion, three hundred three million, twenty-four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 90 99 107 110 135 165 198 214 270 297 321 330 495 535 594 642 963 990 1070 1177 1485 1605 1926 2354 2889 2970 3210 3531 4815 5778 5885 7062 7247 9630 10593 11770 14445 14494 17655 21186 21741 28890 31779 35310 36235 43482 52965 63558 65223 72470 79717 105930 108705 130446 158895 159434 195669 217410 239151 317790 326115 391338 398585 478302 652230 717453 775429 797170 978345 1195755 1434906 1550858 1956690 2152359 2326287 2391510 3587265 3877145 4304718 4652574 6978861 7174530 7754290 8529719 10761795 11631435 13957722 17059438 20936583 21523590 23262870 25589157 34894305 41873166 42648595 51178314 69788610 76767471 85297190 104682915 127945785 153534942 209365830 230302413 255891570 383837355 460604826 767674710 1151512065 2303024130