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21303200112 = 2437134917911
BaseRepresentation
bin10011110101110001…
…010000100101110000
32000222122201200201120
4103311301100211300
5322112104400422
613441521302240
71352625133065
oct236561204560
960878650646
1021303200112
119042112607
124166494980
13201669336c
1410613dac6c
1584a38e45c
hex4f5c50970

21303200112 has 80 divisors (see below), whose sum is σ = 55971417600. Its totient is φ = 6980601600.

The previous prime is 21303200099. The next prime is 21303200117. The reversal of 21303200112 is 21100230312.

It is a junction number, because it is equal to n+sod(n) for n = 21303200091 and 21303200100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21303200117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1180437 + ... + 1198347.

It is an arithmetic number, because the mean of its divisors is an integer number (699642720).

Almost surely, 221303200112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21303200112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27985708800).

21303200112 is an abundant number, since it is smaller than the sum of its proper divisors (34668217488).

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

21303200112 is a wasteful number, since it uses less digits than its factorization.

21303200112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18342 (or 18336 counting only the distinct ones).

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

Adding to 21303200112 its reverse (21100230312), we get a palindrome (42403430424).

The spelling of 21303200112 in words is "twenty-one billion, three hundred three million, two hundred thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 71 142 213 284 349 426 568 698 852 1047 1136 1396 1704 2094 2792 3408 4188 5584 8376 16752 17911 24779 35822 49558 53733 71644 74337 99116 107466 143288 148674 198232 214932 286576 297348 396464 429864 594696 859728 1189392 1271681 2543362 3815043 5086724 6250939 7630086 10173448 12501878 15260172 18752817 20346896 25003756 30520344 37505634 50007512 61040688 75011268 100015024 150022536 300045072 443816669 887633338 1331450007 1775266676 2662900014 3550533352 5325800028 7101066704 10651600056 21303200112