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1132303332001 = 17213612878769
BaseRepresentation
bin10000011110100010100…
…010011011001010100001
311000020200011111001121111
4100132202202123022201
5122022424123111001
62224101210023321
7144543350343022
oct20364242331241
94006604431544
101132303332001
113a7230791496
12163546117b41
1382a11410cca
143cb377aac49
151e6c1908851
hex107a289b2a1

1132303332001 has 12 divisors (see below), whose sum is σ = 1203711615180. Its totient is φ = 1064913858560.

The previous prime is 1132303331993. The next prime is 1132303332029. The reversal of 1132303332001 is 1002333032311.

It can be written as a sum of positive squares in 6 ways, for example, as 52075696401 + 1080227635600 = 228201^2 + 1039340^2 .

It is not a de Polignac number, because 1132303332001 - 23 = 1132303331993 is a prime.

It is a super-2 number, since 2×11323033320012 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1132303332401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1046056 + ... + 1832713.

It is an arithmetic number, because the mean of its divisors is an integer number (100309301265).

Almost surely, 21132303332001 is an apocalyptic number.

It is an amenable number.

1132303332001 is a deficient number, since it is larger than the sum of its proper divisors (71408283179).

1132303332001 is a wasteful number, since it uses less digits than its factorization.

1132303332001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2880164 (or 2880147 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 1132303332001 its reverse (1002333032311), we get a palindrome (2134636364312).

The spelling of 1132303332001 in words is "one trillion, one hundred thirty-two billion, three hundred three million, three hundred thirty-two thousand, one".

Divisors: 1 17 289 1361 23137 393329 2878769 48939073 831964241 3918004609 66606078353 1132303332001