Search a number
-
+
1332232112232 = 2332741836311231
BaseRepresentation
bin10011011000101111001…
…110001100100001101000
311201100201112202101221200
4103120233032030201220
5133311402410042412
62500004033404200
7165151645053150
oct23305716144150
94640645671850
101332232112232
11473aa632917a
12196241a09660
1398823a553b8
14486a222d760
15249c39b09dc
hex1362f38c868

1332232112232 has 384 divisors, whose sum is σ = 4285297336320. Its totient is φ = 366000768000.

The previous prime is 1332232112227. The next prime is 1332232112243. The reversal of 1332232112232 is 2322112322331.

1332232112232 is a `hidden beast` number, since 1 + 3 + 3 + 223 + 211 + 223 + 2 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1332232112196 and 1332232112205.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1082235057 + ... + 1082236287.

It is an arithmetic number, because the mean of its divisors is an integer number (11159628480).

Almost surely, 21332232112232 is an apocalyptic number.

1332232112232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1332232112232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2142648668160).

1332232112232 is an abundant number, since it is smaller than the sum of its proper divisors (2953065224088).

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

1332232112232 is a wasteful number, since it uses less digits than its factorization.

1332232112232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2005 (or 1998 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

Adding to 1332232112232 its reverse (2322112322331), we get a palindrome (3654344434563).

The spelling of 1332232112232 in words is "one trillion, three hundred thirty-two billion, two hundred thirty-two million, one hundred twelve thousand, two hundred thirty-two".