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1332332032401 = 32359341201473
BaseRepresentation
bin10011011000110101001…
…011010111000110010001
311201100222111202212122200
4103120311023113012101
5133312104000014101
62500022003153413
7165154300263456
oct23306513270621
94640874685580
101332332032401
11474047775727
1219626b375869
139883b66b766
14486b15dd82d
15249cc64b986
hex136352d7191

1332332032401 has 12 divisors (see below), whose sum is σ = 1925015268228. Its totient is φ = 887974124544.

The previous prime is 1332332032331. The next prime is 1332332032457. The reversal of 1332332032401 is 1042302332331.

1332332032401 is a `hidden beast` number, since 1 + 3 + 3 + 2 + 332 + 0 + 324 + 0 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 251927701776 + 1080404330625 = 501924^2 + 1039425^2 .

It is not a de Polignac number, because 1332332032401 - 215 = 1332331999633 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1332332032501) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20568400 + ... + 20633073.

It is an arithmetic number, because the mean of its divisors is an integer number (160417939019).

Almost surely, 21332332032401 is an apocalyptic number.

It is an amenable number.

1332332032401 is a deficient number, since it is larger than the sum of its proper divisors (592683235827).

1332332032401 is a wasteful number, since it uses less digits than its factorization.

1332332032401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41205072 (or 41205069 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 1332332032401 its reverse (1042302332331), we get a palindrome (2374634364732).

The spelling of 1332332032401 in words is "one trillion, three hundred thirty-two billion, three hundred thirty-two million, thirty-two thousand, four hundred one".

Divisors: 1 3 9 3593 10779 32337 41201473 123604419 370813257 148036892489 444110677467 1332332032401