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30140312300100 = 223252188991772011
BaseRepresentation
bin1101101101001100101101…
…00110111010101001000100
310221201101102012001010102200
412312212112212322221010
512422304324422100400
6144034133542434500
76230365015304352
oct666462646725104
9127641365033380
1030140312300100
11967048659a952
123469489732a30
1313a82b09177b2
14762b282707d2
15374043138b00
hex1b69969baa44

30140312300100 has 108 divisors (see below), whose sum is σ = 94478186602800. Its totient is φ = 8036986795200.

The previous prime is 30140312300083. The next prime is 30140312300117. The reversal of 30140312300100 is 100321304103.

30140312300100 is a `hidden beast` number, since 3 + 0 + 1 + 40 + 312 + 300 + 10 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (30140312300083) and next prime (30140312300117).

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

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 16123095 + ... + 17895105.

It is an arithmetic number, because the mean of its divisors is an integer number (874798024100).

Almost surely, 230140312300100 is an apocalyptic number.

30140312300100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30140312300100 is an abundant number, since it is smaller than the sum of its proper divisors (64337874302700).

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

30140312300100 is a wasteful number, since it uses less digits than its factorization.

30140312300100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1790930 (or 1790920 counting only the distinct ones).

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

Adding to 30140312300100 its reverse (100321304103), we get a palindrome (30240633604203).

The spelling of 30140312300100 in words is "thirty trillion, one hundred forty billion, three hundred twelve million, three hundred thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 18899 37798 56697 75596 94495 113394 170091 188990 226788 283485 340182 377980 472475 566970 680364 850455 944950 1133940 1417425 1700910 1772011 1889900 2834850 3401820 3544022 4252275 5316033 5669700 7088044 8504550 8860055 10632066 15948099 17009100 17720110 21264132 26580165 31896198 35440220 44300275 53160330 63792396 79740495 88600550 106320660 132900825 159480990 177201100 265801650 318961980 398702475 531603300 797404950 1594809900 33489235889 66978471778 100467707667 133956943556 167446179445 200935415334 301403123001 334892358890 401870830668 502338538335 602806246002 669784717780 837230897225 1004677076670 1205612492004 1507015615005 1674461794450 2009354153340 2511692691675 3014031230010 3348923588900 5023385383350 6028062460020 7535078075025 10046770766700 15070156150050 30140312300100