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21114313220 = 225711134324527
BaseRepresentation
bin10011101010100000…
…101101101000000100
32000111111022020121202
4103222200231220010
5321220231010340
613411053002032
71345142462330
oct235240555004
960444266552
1021114313220
118a55530040
124113183318
131cb64ca480
1410442ac7c0
158389ccc15
hex4ea82da04

21114313220 has 192 divisors, whose sum is σ = 60920487936. Its totient is φ = 5933329920.

The previous prime is 21114313183. The next prime is 21114313267. The reversal of 21114313220 is 2231341112.

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

It is a junction number, because it is equal to n+sod(n) for n = 21114313192 and 21114313201.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 848597 + ... + 873123.

It is an arithmetic number, because the mean of its divisors is an integer number (317294208).

Almost surely, 221114313220 is an apocalyptic number.

21114313220 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 21114313220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30460243968).

21114313220 is an abundant number, since it is smaller than the sum of its proper divisors (39806174716).

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

21114313220 is a wasteful number, since it uses less digits than its factorization.

21114313220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24610 (or 24608 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 21114313220 its reverse (2231341112), we get a palindrome (23345654332).

The spelling of 21114313220 in words is "twenty-one billion, one hundred fourteen million, three hundred thirteen thousand, two hundred twenty".