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21303313101 = 327615543407
BaseRepresentation
bin10011110101110001…
…101100001011001101
32000222122221102201100
4103311301230023031
5322112122004401
613441523533313
71352626113360
oct236561541315
960878842640
1021303313101
11904218a494
12416652a239
132016702915
14106142a0d7
1584a3b2b86
hex4f5c6c2cd

21303313101 has 24 divisors (see below), whose sum is σ = 35743894784. Its totient is φ = 11973756960.

The previous prime is 21303313081. The next prime is 21303313151. The reversal of 21303313101 is 10131330312.

It is a happy number.

21303313101 is a `hidden beast` number, since 21 + 3 + 0 + 331 + 310 + 1 = 666.

It is not a de Polignac number, because 21303313101 - 210 = 21303312077 is a prime.

It is a super-2 number, since 2×213033131012 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21303313151) 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 23 ways as a sum of consecutive naturals, for example, 2767861 + ... + 2775546.

Almost surely, 221303313101 is an apocalyptic number.

21303313101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

21303313101 is a deficient number, since it is larger than the sum of its proper divisors (14440581683).

21303313101 is a wasteful number, since it uses less digits than its factorization.

21303313101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5543481 (or 5543478 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 21303313101 its reverse (10131330312), we get a palindrome (31434643413).

The spelling of 21303313101 in words is "twenty-one billion, three hundred three million, three hundred thirteen thousand, one hundred one".

Divisors: 1 3 7 9 21 61 63 183 427 549 1281 3843 5543407 16630221 38803849 49890663 116411547 338147827 349234641 1014443481 2367034789 3043330443 7101104367 21303313101