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301121201130 = 2351929311291597
BaseRepresentation
bin1000110000111000011…
…10001110001111101010
31001210020122122221112220
410120130032032033222
514413144011414010
6350155544214510
730520030656321
oct4303416161752
91053218587486
10301121201130
11106783082302
124a438a6a436
132251b1c3629
1410807ddd0b8
157c75d31970
hex461c38e3ea

301121201130 has 128 divisors (see below), whose sum is σ = 764478086400. Its totient is φ = 75698509824.

The previous prime is 301121201083. The next prime is 301121201167. The reversal of 301121201130 is 31102121103.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 188553492 + ... + 188555088.

It is an arithmetic number, because the mean of its divisors is an integer number (5972485050).

Almost surely, 2301121201130 is an apocalyptic number.

301121201130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 301121201130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382239043200).

301121201130 is an abundant number, since it is smaller than the sum of its proper divisors (463356885270).

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

301121201130 is a wasteful number, since it uses less digits than its factorization.

301121201130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3048.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 301121201130 its reverse (31102121103), we get a palindrome (332223322233).

The spelling of 301121201130 in words is "three hundred one billion, one hundred twenty-one million, two hundred one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 114 190 285 293 570 586 879 1129 1465 1597 1758 2258 2930 3194 3387 4395 4791 5567 5645 6774 7985 8790 9582 11134 11290 15970 16701 16935 21451 23955 27835 30343 33402 33870 42902 47910 55670 60686 64353 83505 91029 107255 128706 151715 167010 182058 214510 303430 321765 330797 455145 467921 643530 661594 910290 935842 992391 1403763 1653985 1803013 1984782 2339605 2807526 3307970 3606026 4679210 4961955 5409039 6285143 7018815 8890499 9015065 9923910 10818078 12570286 14037630 17780998 18030130 18855429 26671497 27045195 31425715 34257247 37710858 44452495 53342994 54090390 62851430 68514494 88904990 94277145 102771741 133357485 171286235 188554290 205543482 266714970 342572470 513858705 528282809 1027717410 1056565618 1584848427 2641414045 3169696854 5282828090 7924242135 10037373371 15848484270 20074746742 30112120113 50186866855 60224240226 100373733710 150560600565 301121201130