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30132130030032 = 24319277119276593
BaseRepresentation
bin1101101100111101011101…
…11010000010000111010000
310221200121021221122202000010
412312132232322002013100
512422141100241430112
6144030302012154520
76226655162202522
oct666365672020720
9127617257582003
1030132130030032
119667a6794a288
123467985468a40
1313a75a86b7484
1476258d6bba12
15373c14b3763c
hex1b67aee821d0

30132130030032 has 80 divisors (see below), whose sum is σ = 82234054967360. Its totient is φ = 9481057744896.

The previous prime is 30132130029997. The next prime is 30132130030039. The reversal of 30132130030032 is 23003003123103.

It is a junction number, because it is equal to n+sod(n) for n = 30132130029990 and 30132130030008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30132130030039) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 59385673 + ... + 59890920.

It is an arithmetic number, because the mean of its divisors is an integer number (1027925687092).

Almost surely, 230132130030032 is an apocalyptic number.

It is an amenable number.

30132130030032 is an abundant number, since it is smaller than the sum of its proper divisors (52101924937328).

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

30132130030032 is a wasteful number, since it uses less digits than its factorization.

30132130030032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119276900 (or 119276894 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 30132130030032 its reverse (23003003123103), we get a palindrome (53135133153135).

The spelling of 30132130030032 in words is "thirty trillion, one hundred thirty-two billion, one hundred thirty million, thirty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 277 304 456 554 831 912 1108 1662 2216 3324 4432 5263 6648 10526 13296 15789 21052 31578 42104 63156 84208 126312 252624 119276593 238553186 357829779 477106372 715659558 954212744 1431319116 1908425488 2266255267 2862638232 4532510534 5725276464 6798765801 9065021068 13597531602 18130042136 27195063204 33039616261 36260084272 54390126408 66079232522 99118848783 108780252816 132158465044 198237697566 264316930088 396475395132 528633860176 627752708959 792950790264 1255505417918 1585901580528 1883258126877 2511010835836 3766516253754 5022021671672 7533032507508 10044043343344 15066065015016 30132130030032