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303144140130 = 2351331101248257
BaseRepresentation
bin1000110100101001100…
…11000111110101100010
31001222110122011220011120
410122110303013311202
514431314344441010
6351132410553110
730621123450546
oct4322463076542
91058418156146
10303144140130
11107620a67317
124a902438796
132278133ca60
141095a949a26
157d43725e70
hex4694cc7d62

303144140130 has 128 divisors (see below), whose sum is σ = 816796624896. Its totient is φ = 71497728000.

The previous prime is 303144140113. The next prime is 303144140179. The reversal of 303144140130 is 31041441303.

303144140130 is digitally balanced in base 7, 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 303144140130.

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, 1096962 + ... + 1345218.

It is an arithmetic number, because the mean of its divisors is an integer number (6381223632).

Almost surely, 2303144140130 is an apocalyptic number.

303144140130 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 303144140130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408398312448).

303144140130 is an abundant number, since it is smaller than the sum of its proper divisors (513652484766).

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

303144140130 is a wasteful number, since it uses less digits than its factorization.

303144140130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248412.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 303144140130 its reverse (31041441303), we get a palindrome (334185581433).

The spelling of 303144140130 in words is "three hundred three billion, one hundred forty-four million, one hundred forty thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 31 39 62 65 78 93 101 130 155 186 195 202 303 310 390 403 465 505 606 806 930 1010 1209 1313 1515 2015 2418 2626 3030 3131 3939 4030 6045 6262 6565 7878 9393 12090 13130 15655 18786 19695 31310 39390 40703 46965 81406 93930 122109 203515 244218 248257 407030 496514 610545 744771 1221090 1241285 1489542 2482570 3227341 3723855 6454682 7447710 7695967 9682023 15391934 16136705 19364046 23087901 25073957 32273410 38479835 46175802 48410115 50147914 75221871 76959670 96820230 100047571 115439505 125369785 150443742 200095142 230879010 250739570 300142713 325961441 376109355 500237855 600285426 651922882 752218710 777292667 977884323 1000475710 1500713565 1554585334 1629807205 1955768646 2331878001 3001427130 3259614410 3886463335 4663756002 4889421615 7772926670 9778843230 10104804671 11659390005 20209609342 23318780010 30314414013 50524023355 60628828026 101048046710 151572070065 303144140130