Search a number
-
+
21323022302331 = 3337412272293367
BaseRepresentation
bin1001101100100101001110…
…01010110111110001111011
32210111110110002100002112000
410312102213022313301323
510243324022202133311
6113203354453352043
74330352241031251
oct466224712676173
983443402302460
1021323022302331
116881052221772
122484665038623
13bb89a1c78679
1453a07b25c5d1
1526e9da024056
hex1364a72b7c7b

21323022302331 has 64 divisors (see below), whose sum is σ = 33381163791360. Its totient is φ = 13434354558720.

The previous prime is 21323022302287. The next prime is 21323022302383. The reversal of 21323022302331 is 13320322032312.

21323022302331 is a `hidden beast` number, since 2 + 1 + 3 + 2 + 3 + 0 + 22 + 302 + 331 = 666.

It is not a de Polignac number, because 21323022302331 - 27 = 21323022302203 is a prime.

It is a super-2 number, since 2×213230223023312 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 21323022302295 and 21323022302304.

It is not an unprimeable number, because it can be changed into a prime (21323022306331) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8151010 + ... + 10444376.

It is an arithmetic number, because the mean of its divisors is an integer number (521580684240).

Almost surely, 221323022302331 is an apocalyptic number.

21323022302331 is a deficient number, since it is larger than the sum of its proper divisors (12058141489029).

21323022302331 is a wasteful number, since it uses less digits than its factorization.

21323022302331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2293681 (or 2293675 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 21323022302331 its reverse (13320322032312), we get a palindrome (34643344334643).

The spelling of 21323022302331 in words is "twenty-one trillion, three hundred twenty-three billion, twenty-two million, three hundred two thousand, three hundred thirty-one".

Divisors: 1 3 9 27 37 41 111 123 227 333 369 681 999 1107 1517 2043 4551 6129 8399 9307 13653 25197 27921 40959 75591 83763 226773 251289 344359 1033077 2293367 3099231 6880101 9297693 20640303 61920909 84854579 94028047 254563737 282084141 520594309 763691211 846252423 1561782927 2291073633 2538757269 3479037739 4685348781 10437113217 14056046343 19261989433 21344366669 31311339651 57785968299 64033100007 93934018953 173357904897 192099300021 520073714691 576297900063 789741566753 2369224700259 7107674100777 21323022302331