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30340305033012 = 22321331049365689
BaseRepresentation
bin1101110011000001001110…
…00110101001011100110100
310222102111122000122121100200
412321200213012221130310
512434043421042024022
6144310051013040500
76251005020423462
oct671404706513464
9128374560577320
1030340305033012
119738284248197
1234a01a2926130
1313c1103591000
1476c69b3bd832
1537934ab24bac
hex1b98271a9734

30340305033012 has 144 divisors (see below), whose sum is σ = 83161197210000. Its totient is φ = 9326553560064.

The previous prime is 30340305033011. The next prime is 30340305033067. The reversal of 30340305033012 is 21033050304303.

It is a happy number.

30340305033012 is a `hidden beast` number, since 3 + 0 + 340 + 305 + 0 + 3 + 3 + 0 + 12 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 7694831889936 + 22645473143076 = 2773956^2 + 4758726^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30340305033011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 82784664 + ... + 83150352.

Almost surely, 230340305033012 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 30340305033012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41580598605000).

30340305033012 is an abundant number, since it is smaller than the sum of its proper divisors (52820892176988).

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

30340305033012 is a wasteful number, since it uses less digits than its factorization.

30340305033012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366787 (or 366756 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 27.

Adding to 30340305033012 its reverse (21033050304303), we get a palindrome (51373355337315).

The spelling of 30340305033012 in words is "thirty trillion, three hundred forty billion, three hundred five million, thirty-three thousand, twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 169 234 338 468 507 676 1014 1049 1521 2028 2098 2197 3042 3147 4196 4394 6084 6294 6591 8788 9441 12588 13182 13637 18882 19773 26364 27274 37764 39546 40911 54548 79092 81822 122733 163644 177281 245466 354562 365689 490932 531843 709124 731378 1063686 1097067 1462756 1595529 2127372 2194134 2304653 3191058 3291201 4388268 4609306 4753957 6382116 6582402 6913959 9218612 9507914 13164804 13827918 14261871 19015828 20741877 27655836 28523742 41483754 42785613 57047484 61801441 82967508 85571226 123602882 171142452 185404323 247205764 370808646 383607761 556212969 741617292 767215522 803418733 1112425938 1150823283 1534431044 1606837466 2224851876 2301646566 2410256199 3213674932 3452469849 4603293132 4820512398 4986900893 6904939698 7230768597 9641024796 9973801786 13809879396 14461537194 14960702679 19947603572 28923074388 29921405358 44882108037 59842810716 64829711609 89764216074 129659423218 179528432148 194489134827 259318846436 388978269654 583467404481 777956539308 842786250917 1166934808962 1685572501834 2333869617924 2528358752751 3371145003668 5056717505502 7585076258253 10113435011004 15170152516506 30340305033012