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2300020332300 = 22325219134504113
BaseRepresentation
bin100001011110000011111…
…001010001011100001100
322010212202101000212101100
4201132003321101130030
5300140420201113200
64520340441543100
7325112435152305
oct41360371213414
98125671025340
102300020332300
11807484575039
123119141a4a90
13138b77661712
147d4705a57ac
153ec67355d00
hex21783e5170c

2300020332300 has 108 divisors (see below), whose sum is σ = 7588722111880. Its totient is φ = 581057763840.

The previous prime is 2300020332287. The next prime is 2300020332301. The reversal of 2300020332300 is 32330200032.

2300020332300 is a `hidden beast` number, since 2 + 30 + 0 + 0 + 2 + 0 + 332 + 300 = 666.

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 (2300020332301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 67234957 + ... + 67269156.

Almost surely, 22300020332300 is an apocalyptic number.

2300020332300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2300020332300 is an abundant number, since it is smaller than the sum of its proper divisors (5288701779580).

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

2300020332300 is a wasteful number, since it uses less digits than its factorization.

2300020332300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134504152 (or 134504142 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 18.

Adding to 2300020332300 its reverse (32330200032), we get a palindrome (2332350532332).

The spelling of 2300020332300 in words is "two trillion, three hundred billion, twenty million, three hundred thirty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 25 30 36 38 45 50 57 60 75 76 90 95 100 114 150 171 180 190 225 228 285 300 342 380 450 475 570 684 855 900 950 1140 1425 1710 1900 2850 3420 4275 5700 8550 17100 134504113 269008226 403512339 538016452 672520565 807024678 1210537017 1345041130 1614049356 2017561695 2421074034 2555578147 2690082260 3362602825 4035123390 4842148068 5111156294 6052685085 6725205650 7666734441 8070246780 10087808475 10222312588 12105370170 12777890735 13450411300 15333468882 20175616950 23000203323 24210740340 25555781470 30263425425 30666937764 38333672205 40351233900 46000406646 51111562940 60526850850 63889453675 76667344410 92000813292 115001016615 121053701700 127778907350 153334688820 191668361025 230002033230 255557814700 383336722050 460004066460 575005083075 766673444100 1150010166150 2300020332300