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30302132232006 = 23592980938293
BaseRepresentation
bin1101110001111010000111…
…10100111101111101000110
310222021212002200210101200000
412320331003310331331012
512432432231322411011
6144240335105302130
76245154041111445
oct670750364757506
9128255080711600
1030302132232006
119723075740868
12349490a934946
1313ba62bc328ab
1476a8b9768d5c
1537836476a356
hex1b8f43d3df46

30302132232006 has 96 divisors (see below), whose sum is σ = 68176204256160. Its totient is φ = 10087374818304.

The previous prime is 30302132231999. The next prime is 30302132232059. The reversal of 30302132232006 is 60023223120303.

30302132232006 is a `hidden beast` number, since 3 + 0 + 302 + 1 + 32 + 2 + 320 + 0 + 6 = 666.

It is a super-3 number, since 3×303021322320063 (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3653936796 + ... + 3653945088.

It is an arithmetic number, because the mean of its divisors is an integer number (710168794335).

Almost surely, 230302132232006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30302132232006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34088102128080).

30302132232006 is an abundant number, since it is smaller than the sum of its proper divisors (37874072024154).

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

30302132232006 is an equidigital number, since it uses as much as digits as its factorization.

30302132232006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17332 (or 17320 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 30302132232006 its reverse (60023223120303), we get a palindrome (90325355352309).

The spelling of 30302132232006 in words is "thirty trillion, three hundred two billion, one hundred thirty-two million, two hundred thirty-two thousand, six".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 929 1858 2787 5574 8093 8293 8361 16186 16586 16722 24279 24879 25083 48558 49758 50166 72837 74637 75249 145674 149274 150498 218511 223911 225747 437022 447822 451494 655533 671733 1311066 1343466 1966599 2015199 3933198 4030398 7518397 7704197 15036794 15408394 22555191 23112591 45110382 46225182 67115249 67665573 69337773 134230498 135331146 138675546 201345747 202996719 208013319 402691494 405993438 416026638 604037241 608990157 624039957 1208074482 1217980314 1248079914 1812111723 1826970471 1872119871 3624223446 3653940942 3744239742 5436335169 10872670338 16309005507 32618011014 62350066321 124700132642 187050198963 374100397926 561150596889 1122301193778 1683451790667 3366903581334 5050355372001 10100710744002 15151066116003 30302132232006