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133431311232 = 2733591135791
BaseRepresentation
bin111110001000100100…
…0000011101110000000
3110202102001112220202000
41330101020003232000
54141231403424412
6141144132024000
712432360301122
oct1742110035600
9422361486660
10133431311232
115165155103a
1221a39a62000
13c775a413cb
14665b0a7212
15370e2034dc
hex1f11203b80

133431311232 has 256 divisors, whose sum is σ = 404096256000. Its totient is φ = 43328839680.

The previous prime is 133431311231. The next prime is 133431311263. The reversal of 133431311232 is 232113134331.

133431311232 is a `hidden beast` number, since 1 + 3 + 343 + 1 + 311 + 2 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 = 133431311196 and 133431311205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133431311231) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23038257 + ... + 23044047.

It is an arithmetic number, because the mean of its divisors is an integer number (1578501000).

Almost surely, 2133431311232 is an apocalyptic number.

133431311232 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 133431311232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202048128000).

133431311232 is an abundant number, since it is smaller than the sum of its proper divisors (270664944768).

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

133431311232 is a wasteful number, since it uses less digits than its factorization.

133431311232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5986 (or 5968 counting only the distinct ones).

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

Adding to 133431311232 its reverse (232113134331), we get a palindrome (365544445563).

The spelling of 133431311232 in words is "one hundred thirty-three billion, four hundred thirty-one million, three hundred eleven thousand, two hundred thirty-two".