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21301023321 = 3237101633337
BaseRepresentation
bin10011110101101000…
…111101001001011001
32000222111122002201200
4103311220331021121
5322111030221241
613441402504413
71352600465544
oct236550751131
960874562650
1021301023321
119040966106
124165805109
1320160b0616
141060dd185b
1584a0ae4b6
hex4f5a3d259

21301023321 has 24 divisors (see below), whose sum is σ = 31912635144. Its totient is φ = 13680057600.

The previous prime is 21301023313. The next prime is 21301023371. The reversal of 21301023321 is 12332010312.

21301023321 is a `hidden beast` number, since 21 + 301 + 0 + 23 + 321 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 18133584921 + 3167438400 = 134661^2 + 56280^2 .

It is not a de Polignac number, because 21301023321 - 23 = 21301023313 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 21301023294 and 21301023303.

It is not an unprimeable number, because it can be changed into a prime (21301023371) 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, 283036 + ... + 350301.

It is an arithmetic number, because the mean of its divisors is an integer number (1329693131).

Almost surely, 221301023321 is an apocalyptic number.

It is an amenable number.

21301023321 is a deficient number, since it is larger than the sum of its proper divisors (10611611823).

21301023321 is a wasteful number, since it uses less digits than its factorization.

21301023321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633481 (or 633478 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 21301023321 its reverse (12332010312), we get a palindrome (33633033633).

The spelling of 21301023321 in words is "twenty-one billion, three hundred one million, twenty-three thousand, three hundred twenty-one".

Divisors: 1 3 9 37 101 111 303 333 909 3737 11211 33633 633337 1900011 5700033 23433469 63967037 70300407 191901111 210901221 575703333 2366780369 7100341107 21301023321