Search a number
-
+
301224421340310 = 235137417104135137
BaseRepresentation
bin100010001111101100100011…
…0101000011011010010010110
31110111112202212211201022210010
41010133121012220123102112
5303440230103330342220
62544352331102541050
7120306513653236026
oct10437310650332226
91414482784638703
10301224421340310
1187a85617a3aa96
122994b389297786
13cc1045838c940
1454554a8517a86
1524c58125171e0
hex111f646a1b496

301224421340310 has 64 divisors (see below), whose sum is σ = 778654249313472. Its totient is φ = 74137552183296.

The previous prime is 301224421340309. The next prime is 301224421340317. The reversal of 301224421340310 is 13043124422103.

It is a super-2 number, since 2×3012244213403102 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (301224421340317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49174939 + ... + 54960198.

It is an arithmetic number, because the mean of its divisors is an integer number (12166472645523).

Almost surely, 2301224421340310 is an apocalyptic number.

301224421340310 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

301224421340310 is an abundant number, since it is smaller than the sum of its proper divisors (477429827973162).

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

301224421340310 is a wasteful number, since it uses less digits than its factorization.

301224421340310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104142577.

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 301224421340310 its reverse (13043124422103), we get a palindrome (314267545762413).

The spelling of 301224421340310 in words is "three hundred one trillion, two hundred twenty-four billion, four hundred twenty-one million, three hundred forty thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 390 7417 14834 22251 37085 44502 74170 96421 111255 192842 222510 289263 482105 578526 964210 1446315 2892630 104135137 208270274 312405411 520675685 624810822 1041351370 1353756781 1562027055 2707513562 3124054110 4061270343 6768783905 8122540686 13537567810 20306351715 40612703430 772370311129 1544740622258 2317110933387 3861851555645 4634221866774 7723703111290 10040814044677 11585554666935 20081628089354 23171109333870 30122442134031 50204070223385 60244884268062 100408140446770 150612210670155 301224421340310