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21330112300 = 2252740175989
BaseRepresentation
bin10011110111010111…
…111010111100101100
32001001112100222022021
4103313113322330230
5322141002043200
613444322155524
71353402651220
oct236727727454
961045328267
1021330112300
119056324092
1241734b2ba4
13201c126a33
141064c04780
1584c90841a
hex4f75faf2c

21330112300 has 72 divisors (see below), whose sum is σ = 53031293280. Its totient is φ = 7294848000.

The previous prime is 21330112273. The next prime is 21330112303. The reversal of 21330112300 is 321103312.

It is a super-2 number, since 2×213301123002 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21330112303) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 242706 + ... + 318694.

It is an arithmetic number, because the mean of its divisors is an integer number (736545740).

Almost surely, 221330112300 is an apocalyptic number.

21330112300 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 21330112300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26515646640).

21330112300 is an abundant number, since it is smaller than the sum of its proper divisors (31701180980).

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

21330112300 is a wasteful number, since it uses less digits than its factorization.

21330112300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76411 (or 76404 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 21330112300 its reverse (321103312), we get a palindrome (21651215612).

The spelling of 21330112300 in words is "twenty-one billion, three hundred thirty million, one hundred twelve thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 401 700 802 1604 2005 2807 4010 5614 8020 10025 11228 14035 20050 28070 40100 56140 70175 75989 140350 151978 280700 303956 379945 531923 759890 1063846 1519780 1899725 2127692 2659615 3799450 5319230 7598900 10638460 13298075 26596150 30471589 53192300 60943178 121886356 152357945 213301123 304715890 426602246 609431780 761789725 853204492 1066505615 1523579450 2133011230 3047158900 4266022460 5332528075 10665056150 21330112300