Search a number
-
+
21323012401221 = 346775149202529
BaseRepresentation
bin1001101100100101001101…
…00101000110100001000101
32210111110102101201001202020
410312102212211012201011
510243324012133314341
6113203353501233353
74330352060623116
oct466224645064105
983443371631666
1021323012401221
116881047679933
122484661862859
13bb899cbbcb1b
1453a079c0220d
1526e9d921a566
hex1364a6946845

21323012401221 has 16 divisors (see below), whose sum is σ = 28492082424000. Its totient is φ = 14184643102208.

The previous prime is 21323012401211. The next prime is 21323012401277. The reversal of 21323012401221 is 12210421032312.

It is a cyclic number.

It is not a de Polignac number, because 21323012401221 - 210 = 21323012400197 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 21323012401191 and 21323012401200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21323012401211) 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 15 ways as a sum of consecutive naturals, for example, 105182485 + ... + 105385013.

It is an arithmetic number, because the mean of its divisors is an integer number (1780755151500).

Almost surely, 221323012401221 is an apocalyptic number.

It is an amenable number.

21323012401221 is a deficient number, since it is larger than the sum of its proper divisors (7169070022779).

21323012401221 is a wasteful number, since it uses less digits than its factorization.

21323012401221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278148.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 21323012401221 its reverse (12210421032312), we get a palindrome (33533433433533).

The spelling of 21323012401221 in words is "twenty-one trillion, three hundred twenty-three billion, twelve million, four hundred one thousand, two hundred twenty-one".

Divisors: 1 3 467 1401 75149 202529 225447 607587 35094583 94581043 105283749 283743129 15219851821 45659555463 7107670800407 21323012401221