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21342430100 = 2252213424301
BaseRepresentation
bin10011111000000110…
…111010001110010100
32001002101112210011002
4103320012322032110
5322202130230400
613445442202432
71353612443165
oct237006721624
961071483132
1021342430100
119062277692
124177653418
13202184a584
1410666cd76c
1584da3ced5
hex4f81ba394

21342430100 has 18 divisors (see below), whose sum is σ = 46313073534. Its totient is φ = 8536972000.

The previous prime is 21342430033. The next prime is 21342430121. The reversal of 21342430100 is 103424312.

It can be written as a sum of positive squares in 3 ways, for example, as 50951044 + 21291479056 = 7138^2 + 145916^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 106712051 + ... + 106712250.

Almost surely, 221342430100 is an apocalyptic number.

21342430100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21342430100 is an abundant number, since it is smaller than the sum of its proper divisors (24970643434).

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

21342430100 is a wasteful number, since it uses less digits than its factorization.

21342430100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213424315 (or 213424308 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 21342430100 its reverse (103424312), we get a palindrome (21445854412).

The spelling of 21342430100 in words is "twenty-one billion, three hundred forty-two million, four hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 213424301 426848602 853697204 1067121505 2134243010 4268486020 5335607525 10671215050 21342430100