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313301243130 = 235175322351977
BaseRepresentation
bin1001000111100100011…
…01011001010011111010
31002221200111120012002120
410203302031121103322
520113120104240010
6355532324542110
731430616425001
oct4436215312372
91087614505076
10313301243130
11110963425117
1250877b51936
132370c745185
14112418c5c38
15823a2b7e70
hex48f23594fa

313301243130 has 128 divisors (see below), whose sum is σ = 814828750848. Its totient is φ = 76801400832.

The previous prime is 313301243093. The next prime is 313301243141. The reversal of 313301243130 is 31342103313.

It is a happy number.

313301243130 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 313301243130.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6001702 + ... + 6053678.

It is an arithmetic number, because the mean of its divisors is an integer number (6365849616).

Almost surely, 2313301243130 is an apocalyptic number.

313301243130 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 313301243130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407414375424).

313301243130 is an abundant number, since it is smaller than the sum of its proper divisors (501527507718).

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

313301243130 is a wasteful number, since it uses less digits than its factorization.

313301243130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52280.

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 313301243130 its reverse (31342103313), we get a palindrome (344643346443).

The spelling of 313301243130 in words is "three hundred thirteen billion, three hundred one million, two hundred forty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 53 85 102 106 159 170 223 255 265 318 446 510 530 669 795 901 1115 1338 1590 1802 2230 2703 3345 3791 4505 5406 6690 7582 9010 11373 11819 13515 18955 22746 23638 27030 35457 37910 51977 56865 59095 70914 103954 113730 118190 155931 177285 200923 259885 311862 354570 401846 519770 602769 779655 883609 1004615 1205538 1559310 1767218 2009230 2650827 2754781 3013845 4418045 5301654 5509562 6027690 8264343 8836090 11590871 13254135 13773905 16528686 23181742 26508270 27547810 34772613 41321715 46831277 57954355 69545226 82643430 93662554 115908710 140493831 173863065 197044807 234156385 280987662 347726130 394089614 468312770 591134421 614316163 702469155 985224035 1182268842 1228632326 1404938310 1842948489 1970448070 2955672105 3071580815 3685896978 5911344210 6143161630 9214742445 10443374771 18429484890 20886749542 31330124313 52216873855 62660248626 104433747710 156650621565 313301243130