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21312819 = 3211219571
BaseRepresentation
bin101000101001…
…1010100110011
31111002210200200
41101103110303
520424002234
62040450243
7346104333
oct121232463
944083620
1021312819
1111037700
127179983
134552b48
142b8b0c3
151d0ed99
hex1453533

21312819 has 18 divisors (see below), whose sum is σ = 33839988. Its totient is φ = 12916200.

The previous prime is 21312793. The next prime is 21312829. The reversal of 21312819 is 91821312.

It is not a de Polignac number, because 21312819 - 25 = 21312787 is a prime.

It is a super-2 number, since 2×213128192 = 908472507453522, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21312792 and 21312801.

It is not an unprimeable number, because it can be changed into a prime (21312829) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 8697 + ... + 10874.

Almost surely, 221312819 is an apocalyptic number.

21312819 is a deficient number, since it is larger than the sum of its proper divisors (12527169).

21312819 is a wasteful number, since it uses less digits than its factorization.

21312819 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19599 (or 19585 counting only the distinct ones).

The product of its digits is 864, while the sum is 27.

The square root of 21312819 is about 4616.5808776626. The cubic root of 21312819 is about 277.2555822028.

It can be divided in two parts, 2131 and 2819, that added together give a triangular number (4950 = T99).

The spelling of 21312819 in words is "twenty-one million, three hundred twelve thousand, eight hundred nineteen".

Divisors: 1 3 9 11 33 99 121 363 1089 19571 58713 176139 215281 645843 1937529 2368091 7104273 21312819