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1332311112132 = 2237111337281019
BaseRepresentation
bin10011011000110011111…
…011100011100111000100
311201100221001102000102220
4103120303323203213010
5133312033121042012
62500015534532340
7165153624412440
oct23306373434704
94640831360386
101332311112132
11474036986a50
121962643670b0
13988372254c0
14486ac915820
15249ca8b808c
hex13633ee39c4

1332311112132 has 288 divisors, whose sum is σ = 4289865108480. Its totient is φ = 310798010880.

The previous prime is 1332311112127. The next prime is 1332311112151. The reversal of 1332311112132 is 2312111132331.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16403919 + ... + 16484937.

It is an arithmetic number, because the mean of its divisors is an integer number (14895364960).

Almost surely, 21332311112132 is an apocalyptic number.

1332311112132 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 1332311112132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2144932554240).

1332311112132 is an abundant number, since it is smaller than the sum of its proper divisors (2957553996348).

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

1332311112132 is a wasteful number, since it uses less digits than its factorization.

1332311112132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81131 (or 81092 counting only the distinct ones).

The product of its digits is 648, while the sum is 24.

Adding to 1332311112132 its reverse (2312111132331), we get a palindrome (3644422244463).

The spelling of 1332311112132 in words is "one trillion, three hundred thirty-two billion, three hundred eleven million, one hundred twelve thousand, one hundred thirty-two".