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21322310121 = 327828740841
BaseRepresentation
bin10011110110111010…
…001010000111101001
32001000222200120201200
4103312322022013221
5322132002410441
613443443034413
71353246434310
oct236672120751
961028616650
1021322310121
119051985202
12417096ba09
13201a624668
141063b73277
1584bdb67b6
hex4f6e8a1e9

21322310121 has 24 divisors (see below), whose sum is σ = 35203843584. Its totient is φ = 12182408640.

The previous prime is 21322310077. The next prime is 21322310123. The reversal of 21322310121 is 12101322312.

21322310121 is a `hidden beast` number, since 21 + 322 + 310 + 12 + 1 = 666.

It is not a de Polignac number, because 21322310121 - 225 = 21288755689 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 21322310094 and 21322310103.

It is not an unprimeable number, because it can be changed into a prime (21322310123) 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, 501661 + ... + 542501.

It is an arithmetic number, because the mean of its divisors is an integer number (1466826816).

Almost surely, 221322310121 is an apocalyptic number.

21322310121 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

21322310121 is a deficient number, since it is larger than the sum of its proper divisors (13881533463).

21322310121 is a wasteful number, since it uses less digits than its factorization.

21322310121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49141 (or 49138 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 21322310121 its reverse (12101322312), we get a palindrome (33423632433).

The spelling of 21322310121 in words is "twenty-one billion, three hundred twenty-two million, three hundred ten thousand, one hundred twenty-one".

Divisors: 1 3 7 9 21 63 8287 24861 40841 58009 74583 122523 174027 285887 367569 522081 857661 2572983 338449367 1015348101 2369145569 3046044303 7107436707 21322310121