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21342000020 = 22511191507901
BaseRepresentation
bin10011111000000101…
…010001001110010100
32001002100201221012012
4103320011101032110
5322202023000040
613445425043352
71353606002255
oct237005211624
961070657165
1021342000020
119062003550
124177486558
1320217298a3
14106661ab2c
1584d9a5865
hex4f8151394

21342000020 has 48 divisors (see below), whose sum is σ = 49148660736. Its totient is φ = 7720080000.

The previous prime is 21341999981. The next prime is 21342000077. The reversal of 21342000020 is 2000024312.

It is a junction number, because it is equal to n+sod(n) for n = 21341999959 and 21342000004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 211931 + ... + 295970.

It is an arithmetic number, because the mean of its divisors is an integer number (1023930432).

Almost surely, 221342000020 is an apocalyptic number.

21342000020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21342000020 is an abundant number, since it is smaller than the sum of its proper divisors (27806660716).

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

21342000020 is a wasteful number, since it uses less digits than its factorization.

21342000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508112 (or 508110 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

Adding to 21342000020 its reverse (2000024312), we get a palindrome (23342024332).

The spelling of 21342000020 in words is "twenty-one billion, three hundred forty-two million, twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 11 20 22 44 55 110 191 220 382 764 955 1910 2101 3820 4202 8404 10505 21010 42020 507901 1015802 2031604 2539505 5079010 5586911 10158020 11173822 22347644 27934555 55869110 97009091 111738220 194018182 388036364 485045455 970090910 1067100001 1940181820 2134200002 4268400004 5335500005 10671000010 21342000020