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1332112331304 = 233323292318833
BaseRepresentation
bin10011011000101000000…
…101010001001000101000
311201100102012100220102000
4103120220011101020220
5133311131224100204
62455544114211000
7165145661663466
oct23305005211050
94640365326360
101332112331304
11473a44756a77
12196209883a60
1398804ca7101
144869036d836
15249b8200039
hex13628151228

1332112331304 has 192 divisors, whose sum is σ = 3998943561600. Its totient is φ = 410084269056.

The previous prime is 1332112331293. The next prime is 1332112331309. The reversal of 1332112331304 is 4031332112331.

1332112331304 is a `hidden beast` number, since 1 + 3 + 3 + 21 + 1 + 2 + 331 + 304 = 666.

It is a super-3 number, since 3×13321123313043 (a number of 37 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1332112331309) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4018672 + ... + 4337504.

It is an arithmetic number, because the mean of its divisors is an integer number (20827831050).

Almost surely, 21332112331304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1332112331304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1999471780800).

1332112331304 is an abundant number, since it is smaller than the sum of its proper divisors (2666831230296).

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

1332112331304 is a wasteful number, since it uses less digits than its factorization.

1332112331304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318929 (or 318890 counting only the distinct ones).

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

Adding to 1332112331304 its reverse (4031332112331), we get a palindrome (5363444443635).

The spelling of 1332112331304 in words is "one trillion, three hundred thirty-two billion, one hundred twelve million, three hundred thirty-one thousand, three hundred four".