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1132312231332 = 2232110928361693
BaseRepresentation
bin10000011110100011000…
…100010111110110100100
311000020200210020012012100
4100132203010113312210
5122022433412400312
62224102124452100
7144543516106422
oct20364304276644
94006623205170
101132312231332
113a723580a707
121635490aa030
1382a13208899
143cb38a46112
151e6c25b55dc
hex107a3117da4

1132312231332 has 36 divisors (see below), whose sum is σ = 2864814710940. Its totient is φ = 377097056832.

The previous prime is 1132312231313. The next prime is 1132312231333. The reversal of 1132312231332 is 2331322132311.

1132312231332 is a `hidden beast` number, since 1 + 1 + 3 + 2 + 312 + 2 + 313 + 32 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 574088074596 + 558224156736 = 757686^2 + 747144^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 = 1132312231296 and 1132312231305.

It is not an unprimeable number, because it can be changed into a prime (1132312231333) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 14140923 + ... + 14220770.

It is an arithmetic number, because the mean of its divisors is an integer number (79578186415).

Almost surely, 21132312231332 is an apocalyptic number.

1132312231332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1132312231332 is an abundant number, since it is smaller than the sum of its proper divisors (1732502479608).

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

1132312231332 is a wasteful number, since it uses less digits than its factorization.

1132312231332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28362812 (or 28362807 counting only the distinct ones).

The product of its digits is 3888, while the sum is 27.

Adding to 1132312231332 its reverse (2331322132311), we get a palindrome (3463634363643).

The spelling of 1132312231332 in words is "one trillion, one hundred thirty-two billion, three hundred twelve million, two hundred thirty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 1109 2218 3327 4436 6654 9981 13308 19962 39924 28361693 56723386 85085079 113446772 170170158 255255237 340340316 510510474 1021020948 31453117537 62906235074 94359352611 125812470148 188718705222 283078057833 377437410444 566156115666 1132312231332