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20300100103200 = 253528458375043
BaseRepresentation
bin1001001110110011111000…
…10000010110110000100000
32122212200002212202022011210
410213121330100112300200
510130044101111300300
6111101423124510120
74163430255556311
oct447317420266040
978780085668153
1020300100103200
116517251316355
12233a36654b340
13b433a2a910b8
1450275c7ba608
152530bb21a050
hex12767c416c20

20300100103200 has 72 divisors (see below), whose sum is σ = 66076825843728. Its totient is φ = 5413360026880.

The previous prime is 20300100103193. The next prime is 20300100103207. The reversal of 20300100103200 is 230100100302.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20300100103193) and next prime (20300100103207).

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

It is not an unprimeable number, because it can be changed into a prime (20300100103207) 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 11 ways as a sum of consecutive naturals, for example, 4229185122 + ... + 4229189921.

It is an arithmetic number, because the mean of its divisors is an integer number (917733692274).

Almost surely, 220300100103200 is an apocalyptic number.

20300100103200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20300100103200 is an abundant number, since it is smaller than the sum of its proper divisors (45776725740528).

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

20300100103200 is a wasteful number, since it uses less digits than its factorization.

20300100103200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8458375066 (or 8458375053 counting only the distinct ones).

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

Adding to 20300100103200 its reverse (230100100302), we get a palindrome (20530200203502).

The spelling of 20300100103200 in words is "twenty trillion, three hundred billion, one hundred million, one hundred three thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 160 200 240 300 400 480 600 800 1200 2400 8458375043 16916750086 25375125129 33833500172 42291875215 50750250258 67667000344 84583750430 101500500516 126875625645 135334000688 169167500860 203001001032 211459376075 253751251290 270668001376 338335001720 406002002064 422918752150 507502502580 634378128225 676670003440 812004004128 845837504300 1015005005160 1268756256450 1353340006880 1691675008600 2030010010320 2537512512900 3383350017200 4060020020640 5075025025800 6766700034400 10150050051600 20300100103200