Search a number
-
+
1332101100000 = 2535511236697
BaseRepresentation
bin10011011000100111011…
…010011011000111100000
311201100101102020021221210
4103120213122123013200
5133311120340200000
62455543033350120
7165145464345246
oct23304732330740
94640342207853
101332101100000
11473a39385800
12196205b68340
1398802873c78
144868ca88796
15249b7232350
hex1362769b1e0

1332101100000 has 432 divisors, whose sum is σ = 4804263476208. Its totient is φ = 322924800000.

The previous prime is 1332101099993. The next prime is 1332101100079. The reversal of 1332101100000 is 11012331.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 36281652 + ... + 36318348.

It is an arithmetic number, because the mean of its divisors is an integer number (11120980269).

Almost surely, 21332101100000 is an apocalyptic number.

1332101100000 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 1332101100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2402131738104).

1332101100000 is an abundant number, since it is smaller than the sum of its proper divisors (3472162376208).

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

1332101100000 is an equidigital number, since it uses as much as digits as its factorization.

1332101100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36757 (or 36718 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 1332101100000 its reverse (11012331), we get a palindrome (1332112112331).

The spelling of 1332101100000 in words is "one trillion, three hundred thirty-two billion, one hundred one million, one hundred thousand".