Search a number
-
+
1332200000000 = 29586661
BaseRepresentation
bin10011011000101101010…
…011101100101000000000
311201100122022022221020202
4103120231103230220000
5133311321200000000
62500000525224332
7165151105106402
oct23305523545000
94640568287222
101332200000000
11473a8a195841
121962331020a8
139881a1c0b8c
144869bc70b72
15249c0c6add5
hex1362d4eca00

1332200000000 has 180 divisors, whose sum is σ = 3327745366506. Its totient is φ = 532800000000.

The previous prime is 1332199999961. The next prime is 1332200000023. The reversal of 1332200000000 is 22331.

It can be written as a sum of positive squares in 9 ways, for example, as 1320219384064 + 11980615936 = 1149008^2 + 109456^2 .

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 199996670 + ... + 200003330.

Almost surely, 21332200000000 is an apocalyptic number.

1332200000000 is a gapful number since it is divisible by the number (10) 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 1332200000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1663872683253).

1332200000000 is an abundant number, since it is smaller than the sum of its proper divisors (1995545366506).

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

1332200000000 is an frugal number, since it uses more digits than its factorization.

1332200000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6719 (or 6668 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

Adding to 1332200000000 its reverse (22331), we get a palindrome (1332200022331).

The spelling of 1332200000000 in words is "one trillion, three hundred thirty-two billion, two hundred million", and thus it is an aban number.