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1332331114401 = 32735573594499
BaseRepresentation
bin10011011000110101000…
…111110110111110100001
311201100222110001020101200
4103120311013312332201
5133312103231130101
62500021531351413
7165154256421210
oct23306507667641
94640873036350
101332331114401
114740471a8a51
1219626abb2569
139883b409971
14486b1441077
15249cc519986
hex136351f6fa1

1332331114401 has 24 divisors (see below), whose sum is σ = 2199469272000. Its totient is φ = 761309382816.

The previous prime is 1332331114391. The next prime is 1332331114417. The reversal of 1332331114401 is 1044111332331.

1332331114401 is a `hidden beast` number, since 1 + 3 + 3 + 233 + 11 + 14 + 401 = 666.

It is not a de Polignac number, because 1332331114401 - 29 = 1332331113889 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1332331114421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1943850 + ... + 2538348.

It is an arithmetic number, because the mean of its divisors is an integer number (91644553000).

Almost surely, 21332331114401 is an apocalyptic number.

It is an amenable number.

1332331114401 is a deficient number, since it is larger than the sum of its proper divisors (867138157599).

1332331114401 is a wasteful number, since it uses less digits than its factorization.

1332331114401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630085 (or 630082 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 1332331114401 its reverse (1044111332331), we get a palindrome (2376442446732).

The spelling of 1332331114401 in words is "one trillion, three hundred thirty-two billion, three hundred thirty-one million, one hundred fourteen thousand, four hundred one".

Divisors: 1 3 7 9 21 63 35573 106719 249011 320157 594499 747033 1783497 2241099 4161493 5350491 12484479 37453437 21148112927 63444338781 148036790489 190333016343 444110371467 1332331114401