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303034114412124 = 2232337923761121921
BaseRepresentation
bin100010011100110111010000…
…0101111101000111001011100
31110201221210000110111120001120
41010321232200233220321130
5304204402331242141444
62552255541134010540
7120554330564445504
oct10471564057507134
91421853013446046
10303034114412124
1188613056558a27
1229ba205b946a50
1310011cc0839ba4
1454b8d02390a04
15250792d001b19
hex1139ba0be8e5c

303034114412124 has 96 divisors (see below), whose sum is σ = 739806153623040. Its totient is φ = 96359793868800.

The previous prime is 303034114412119. The next prime is 303034114412129. The reversal of 303034114412124 is 421214411430303.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (303034114412119) and next prime (303034114412129).

It is a super-2 number, since 2×3030341144121242 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (303034114412129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2485434684 + ... + 2485556604.

It is an arithmetic number, because the mean of its divisors is an integer number (7706314100240).

Almost surely, 2303034114412124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 303034114412124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369903076811520).

303034114412124 is an abundant number, since it is smaller than the sum of its proper divisors (436772039210916).

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

303034114412124 is a wasteful number, since it uses less digits than its factorization.

303034114412124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146091 (or 146089 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

Adding to 303034114412124 its reverse (421214411430303), we get a palindrome (724248525842427).

The spelling of 303034114412124 in words is "three hundred three trillion, thirty-four billion, one hundred fourteen million, four hundred twelve thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 276 379 758 1137 1516 2274 4548 8717 17434 23761 26151 34868 47522 52302 71283 95044 104604 121921 142566 243842 285132 365763 487684 546503 731526 1093006 1463052 1639509 2186012 2804183 3279018 5608366 6558036 8412549 9005419 11216732 16825098 18010838 27016257 33650196 36021676 46208059 54032514 92416118 108065028 138624177 184832236 207124637 277248354 414249274 554496708 621373911 828498548 1062785357 1242747822 2125570714 2485495644 2896964881 3188356071 4251141428 5793929762 6376712142 8690894643 11587859524 12753424284 17381789286 34763578572 66630192263 133260384526 199890576789 266520769052 399781153578 799562307156 1097949689899 2195899379798 3293849069697 4391798759596 6587698139394 13175396278788 25252842867677 50505685735354 75758528603031 101011371470708 151517057206062 303034114412124