Search a number
-
+
1323121032 = 233218376681
BaseRepresentation
bin100111011011101…
…0011100110001000
310102012200111211200
41032313103212020
510202204333112
6335143024200
744534225502
oct11667234610
93365614750
101323121032
1161995a462
1230b13b060
13181171b6c
14c7a1cd72
157b25acdc
hex4edd3988

1323121032 has 24 divisors (see below), whose sum is σ = 3583452990. Its totient is φ = 441040320.

The previous prime is 1323121003. The next prime is 1323121039. The reversal of 1323121032 is 2301213231.

1323121032 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 709369956 + 613751076 = 26634^2 + 24774^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1323120996 and 1323121014.

It is not an unprimeable number, because it can be changed into a prime (1323121039) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9188269 + ... + 9188412.

Almost surely, 21323121032 is an apocalyptic number.

1323121032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1323121032 is an abundant number, since it is smaller than the sum of its proper divisors (2260331958).

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

1323121032 is a wasteful number, since it uses less digits than its factorization.

1323121032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18376693 (or 18376686 counting only the distinct ones).

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

The square root of 1323121032 is about 36374.7306794153. The cubic root of 1323121032 is about 1097.8251884100.

Adding to 1323121032 its reverse (2301213231), we get a palindrome (3624334263).

The spelling of 1323121032 in words is "one billion, three hundred twenty-three million, one hundred twenty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 18376681 36753362 55130043 73506724 110260086 147013448 165390129 220520172 330780258 441040344 661560516 1323121032