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30132310212 = 2232172318111827
BaseRepresentation
bin11100000100000001…
…101001000011000100
32212202222020221212100
4130010001221003010
5443202332411322
621501555552100
72114464260624
oct340401510304
985688227770
1030132310212
11118629a3714
125a0b2bb630
132ac290c274
14165bc4a884
15bb5561dac
hex7040690c4

30132310212 has 144 divisors (see below), whose sum is σ = 84626785152. Its totient is φ = 8991544320.

The previous prime is 30132310211. The next prime is 30132310213. The reversal of 30132310212 is 21201323103.

30132310212 is a `hidden beast` number, since 301 + 32 + 310 + 21 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (30132310211) and next prime (30132310213).

It is a super-2 number, since 2×301323102122 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (30132310211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2541843 + ... + 2553669.

It is an arithmetic number, because the mean of its divisors is an integer number (587686008).

Almost surely, 230132310212 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 30132310212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42313392576).

30132310212 is an abundant number, since it is smaller than the sum of its proper divisors (54494474940).

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

30132310212 is a wasteful number, since it uses less digits than its factorization.

30132310212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12058 (or 12053 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 30132310212 its reverse (21201323103), we get a palindrome (51333633315).

The spelling of 30132310212 in words is "thirty billion, one hundred thirty-two million, three hundred ten thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 17 18 23 34 36 46 51 68 69 92 102 138 153 181 204 207 276 306 362 391 414 543 612 724 782 828 1086 1173 1564 1629 2172 2346 3077 3258 3519 4163 4692 6154 6516 7038 8326 9231 11827 12308 12489 14076 16652 18462 23654 24978 27693 35481 36924 37467 47308 49956 55386 70771 70962 74934 106443 110772 141542 141924 149868 201059 212313 212886 272021 283084 402118 424626 425772 544042 603177 636939 804236 816063 849252 1088084 1206354 1273878 1632126 1809531 2140687 2412708 2448189 2547756 3264252 3619062 4281374 4624357 4896378 6422061 7238124 8562748 9248714 9792756 12844122 13873071 18497428 19266183 25688244 27746142 36391679 38532366 41619213 49235801 55492284 72783358 77064732 83238426 98471602 109175037 145566716 147707403 166476852 196943204 218350074 295414806 327525111 436700148 443122209 590829612 655050222 837008617 886244418 1310100444 1674017234 1772488836 2511025851 3348034468 5022051702 7533077553 10044103404 15066155106 30132310212