Search a number
-
+
12132103231 = 19920369383
BaseRepresentation
bin10110100110010000…
…10011010000111111
31011022111200200220201
423103020103100333
5144321304300411
65323505024331
7606434114233
oct132310232077
934274620821
1012132103231
11516628a7a6
1224270250a7
1311b4638711
148313a85c3
154b01673c1
hex2d321343f

12132103231 has 8 divisors (see below), whose sum is σ = 12772206720. Its totient is φ = 11492156952.

The previous prime is 12132103211. The next prime is 12132103289. The reversal of 12132103231 is 13230123121.

12132103231 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12132103231 - 25 = 12132103199 is a prime.

It is a super-2 number, since 2×121321032312 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12132103199 and 12132103208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12132103211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 140166 + ... + 209548.

It is an arithmetic number, because the mean of its divisors is an integer number (1596525840).

Almost surely, 212132103231 is an apocalyptic number.

12132103231 is a deficient number, since it is larger than the sum of its proper divisors (640103489).

12132103231 is an equidigital number, since it uses as much as digits as its factorization.

12132103231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78605.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 12132103231 its reverse (13230123121), we get a palindrome (25362226352).

The spelling of 12132103231 in words is "twelve billion, one hundred thirty-two million, one hundred three thousand, two hundred thirty-one".

Divisors: 1 19 9203 69383 174857 1318277 638531749 12132103231