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30041113312 = 257713535351
BaseRepresentation
bin11011111110100101…
…110000001011100000
32212112121122200020101
4123332211300023200
5443011011111222
621444541152144
72112306151510
oct337645601340
985477580211
1030041113312
1111816475081
1259a485b654
132aa9a5b5c2
14164daab840
15bac54a927
hex6fe9702e0

30041113312 has 96 divisors (see below), whose sum is σ = 68751535104. Its totient is φ = 12655104000.

The previous prime is 30041113307. The next prime is 30041113343. The reversal of 30041113312 is 21331114003.

It is a super-3 number, since 3×300411133123 (a number of 32 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 30041113312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5611437 + ... + 5616787.

It is an arithmetic number, because the mean of its divisors is an integer number (716161824).

Almost surely, 230041113312 is an apocalyptic number.

30041113312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30041113312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34375767552).

30041113312 is an abundant number, since it is smaller than the sum of its proper divisors (38710421792).

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

30041113312 is a wasteful number, since it uses less digits than its factorization.

30041113312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5792 (or 5784 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 30041113312 its reverse (21331114003), we get a palindrome (51372227315).

The spelling of 30041113312 in words is "thirty billion, forty-one million, one hundred thirteen thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 71 112 142 224 284 353 497 568 706 994 1136 1412 1988 2272 2471 2824 3976 4942 5351 5648 7952 9884 10702 11296 15904 19768 21404 25063 37457 39536 42808 50126 74914 79072 85616 100252 149828 171232 175441 200504 299656 350882 379921 401008 599312 701764 759842 802016 1198624 1403528 1519684 1888903 2659447 2807056 3039368 3777806 5318894 5614112 6078736 7555612 10637788 12157472 13222321 15111224 21275576 26444642 30222448 42551152 52889284 60444896 85102304 105778568 134112113 211557136 268224226 423114272 536448452 938784791 1072896904 1877569582 2145793808 3755139164 4291587616 7510278328 15020556656 30041113312