Search a number
-
+
12003132321 = 326121863629
BaseRepresentation
bin10110010110111000…
…10100001110100001
31010222112000022002100
423023130110032201
5144040300213241
65303020441013
7603306640605
oct131334241641
933875008070
1012003132321
1150aa500a74
1223ab9a9169
1311939c047b
1481c1d5505
154a3b8d9b6
hex2cb7143a1

12003132321 has 12 divisors (see below), whose sum is σ = 17622085780. Its totient is φ = 7870906080.

The previous prime is 12003132311. The next prime is 12003132347. The reversal of 12003132321 is 12323130021.

12003132321 is a `hidden beast` number, since 120 + 0 + 313 + 232 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 954810000 + 11048322321 = 30900^2 + 105111^2 .

It is not a de Polignac number, because 12003132321 - 25 = 12003132289 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12003132294 and 12003132303.

It is not an unprimeable number, because it can be changed into a prime (12003132311) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10931266 + ... + 10932363.

Almost surely, 212003132321 is an apocalyptic number.

It is an amenable number.

12003132321 is a deficient number, since it is larger than the sum of its proper divisors (5618953459).

12003132321 is a wasteful number, since it uses less digits than its factorization.

12003132321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21863696 (or 21863693 counting only the distinct ones).

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

Adding to 12003132321 its reverse (12323130021), we get a palindrome (24326262342).

The spelling of 12003132321 in words is "twelve billion, three million, one hundred thirty-two thousand, three hundred twenty-one".

Divisors: 1 3 9 61 183 549 21863629 65590887 196772661 1333681369 4001044107 12003132321