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30012010032000 = 27353625250209
BaseRepresentation
bin1101101001011101101110…
…01100100110101110000000
310221021010020120200121011010
412310232313030212232000
512413204044032011000
6143455154351520520
76215203405104603
oct664566714465600
9127233216617133
1030012010032000
119621027284937
123448641529140
1313991746a7069
1475a83645a33a
15370a3437bd50
hex1b4bb7326b80

30012010032000 has 128 divisors (see below), whose sum is σ = 99489813415200. Its totient is φ = 8003202662400.

The previous prime is 30012010031989. The next prime is 30012010032007. The reversal of 30012010032000 is 23001021003.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30012010032007) 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, 312577105 + ... + 312673104.

Almost surely, 230012010032000 is an apocalyptic number.

30012010032000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30012010032000 is an abundant number, since it is smaller than the sum of its proper divisors (69477803383200).

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

30012010032000 is an equidigital number, since it uses as much as digits as its factorization.

30012010032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625250241 (or 625250219 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 30012010032000 its reverse (23001021003), we get a palindrome (30035011053003).

The spelling of 30012010032000 in words is "thirty trillion, twelve billion, ten million, thirty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 128 150 160 192 200 240 250 300 320 375 384 400 480 500 600 640 750 800 960 1000 1200 1500 1600 1920 2000 2400 3000 3200 4000 4800 6000 8000 9600 12000 16000 24000 48000 625250209 1250500418 1875750627 2501000836 3126251045 3751501254 5002001672 6252502090 7503002508 9378753135 10004003344 12505004180 15006005016 15631255225 18757506270 20008006688 25010008360 30012010032 31262510450 37515012540 40016013376 46893765675 50020016720 60024020064 62525020900 75030025080 78156276125 80032026752 93787531350 100040033440 120048040128 125050041800 150060050160 156312552250 187575062700 200080066880 234468828375 240096080256 250100083600 300120100320 312625104500 375150125400 400160133760 468937656750 500200167200 600240200640 625250209000 750300250800 937875313500 1000400334400 1200480401280 1250500418000 1500600501600 1875750627000 2000800668800 2501000836000 3001201003200 3751501254000 5002001672000 6002402006400 7503002508000 10004003344000 15006005016000 30012010032000