Search a number
-
+
21220320301312 = 28117535625107
BaseRepresentation
bin1001101001100101111011…
…01001110101000100000000
32210010122100121101212200111
410310302331221311010000
510240133203444120222
6113044251445201104
74320055214313616
oct464627551650400
983118317355614
1021220320301312
11684153a663280
122468782400194
13bac0b5731772
145350d74076b6
1526bec89ab777
hex134cbda75100

21220320301312 has 36 divisors (see below), whose sum is σ = 46208453162256. Its totient is φ = 9645600135680.

The previous prime is 21220320301249. The next prime is 21220320301387. The reversal of 21220320301312 is 21310302302212.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3767809738 + ... + 3767815369.

It is an arithmetic number, because the mean of its divisors is an integer number (1283568143396).

Almost surely, 221220320301312 is an apocalyptic number.

21220320301312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21220320301312 is an abundant number, since it is smaller than the sum of its proper divisors (24988132860944).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21220320301312 is an equidigital number, since it uses as much as digits as its factorization.

21220320301312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7535625134 (or 7535625120 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 21220320301312 its reverse (21310302302212), we get a palindrome (42530622603524).

Subtracting 21220320301312 from its reverse (21310302302212), we obtain a square (89982000900 = 2999702).

The spelling of 21220320301312 in words is "twenty-one trillion, two hundred twenty billion, three hundred twenty million, three hundred one thousand, three hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 704 1408 2816 7535625107 15071250214 30142500428 60285000856 82891876177 120570001712 165783752354 241140003424 331567504708 482280006848 663135009416 964560013696 1326270018832 1929120027392 2652540037664 5305080075328 10610160150656 21220320301312