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300110331033032 = 231317439157431099
BaseRepresentation
bin100010000111100101110000…
…1101011001011010111001000
31110100121021012222020210011212
41010033023201223023113020
5303314001424221024112
62542140441025112252
7120133153526000312
oct10417134153132710
91410537188223155
10300110331033032
118769609300a653
12297ab486788688
13cb5c38a376a50
1454175bb98a7b2
1524a6859a45522
hex110f2e1acb5c8

300110331033032 has 128 divisors (see below), whose sum is σ = 656633655216000. Its totient is φ = 127318731337728.

The previous prime is 300110331033001. The next prime is 300110331033041. The reversal of 300110331033032 is 230330133011003.

It is a super-2 number, since 2×3001103310330322 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 300110331032989 and 300110331033007.

It is an unprimeable number.

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, 695936219 + ... + 696367317.

It is an arithmetic number, because the mean of its divisors is an integer number (5129950431375).

Almost surely, 2300110331033032 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 300110331033032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328316827608000).

300110331033032 is an abundant number, since it is smaller than the sum of its proper divisors (356523324182968).

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

300110331033032 is a wasteful number, since it uses less digits than its factorization.

300110331033032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440335 (or 440331 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 23.

Adding to 300110331033032 its reverse (230330133011003), we get a palindrome (530440464044035).

The spelling of 300110331033032 in words is "three hundred trillion, one hundred ten billion, three hundred thirty-one million, thirty-three thousand, thirty-two".

Divisors: 1 2 4 8 13 17 26 34 43 52 68 86 104 136 172 221 344 442 559 731 884 1118 1462 1768 2236 2924 4472 5848 9157 9503 18314 19006 36628 38012 73256 76024 119041 155669 238082 311338 393751 431099 476164 622676 787502 862198 952328 1245352 1575004 1724396 2023697 3150008 3448792 4047394 5118763 5604287 6693767 7328683 8094788 10237526 11208574 13387534 14657366 16189576 18537257 20475052 22417148 26775068 29314732 37074514 40950104 44834296 53550136 58629464 74149028 87018971 95272879 148298056 174037942 190545758 240984341 315133369 348075884 381091516 481968682 630266738 696151768 762183032 963937364 1260533476 1927874728 2521066952 3947573543 4096733797 7895147086 8193467594 15790294172 16386935188 31580588344 32773870376 51318456059 67108750231 102636912118 134217500462 169745662349 205273824236 268435000924 339491324698 410547648472 536870001848 678982649396 872413753003 1357965298792 1744827506006 2206693610537 2885676259933 3489655012012 4413387221074 5771352519866 6979310024024 8826774442148 11542705039732 17653548884296 23085410079464 37513791379129 75027582758258 150055165516516 300110331033032