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20300101321200 = 24352197413920747
BaseRepresentation
bin1001001110110011111000…
…10101000000000111110000
32122212200002222001011221220
410213121330111000013300
510130044101414234300
6111101423210545040
74163430302121321
oct447317425000760
978780088034856
1020300101321200
116517251a78468
12233a366a38180
13b433a30c95cc
1450275ca16448
152530bb3aada0
hex12767c5401f0

20300101321200 has 240 divisors, whose sum is σ = 65377024352640. Its totient is φ = 5384320578560.

The previous prime is 20300101321187. The next prime is 20300101321223. The reversal of 20300101321200 is 212310100302.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×203001013212002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20300101321200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 978449227 + ... + 978469973.

It is an arithmetic number, because the mean of its divisors is an integer number (272404268136).

Almost surely, 220300101321200 is an apocalyptic number.

20300101321200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20300101321200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32688512176320).

20300101321200 is an abundant number, since it is smaller than the sum of its proper divisors (45076923031440).

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

20300101321200 is a wasteful number, since it uses less digits than its factorization.

20300101321200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25104 (or 25093 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 20300101321200 its reverse (212310100302), we get a palindrome (20512411421502).

The spelling of 20300101321200 in words is "twenty trillion, three hundred billion, one hundred one million, three hundred twenty-one thousand, two hundred".