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1332030001133 = 131741147006953
BaseRepresentation
bin10011011000100011001…
…011001100111111101101
311201100012110110002122102
4103120203023030333231
5133310444140014013
62455532013424445
7165143642124026
oct23304313147755
94640173402572
101332030001133
11473a02234107
121961a619b125
13987c0c0c230
144868345bc4d
15249b0d8ad58
hex136232ccfed

1332030001133 has 16 divisors (see below), whose sum is σ = 1555921601136. Its totient is φ = 1129013391360.

The previous prime is 1332030001123. The next prime is 1332030001157. The reversal of 1332030001133 is 3311000302331.

It can be written as a sum of positive squares in 8 ways, for example, as 90505908964 + 1241524092169 = 300842^2 + 1114237^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1332030001133 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1332030001123) 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 15 ways as a sum of consecutive naturals, for example, 73494416 + ... + 73512537.

It is an arithmetic number, because the mean of its divisors is an integer number (97245100071).

Almost surely, 21332030001133 is an apocalyptic number.

1332030001133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1332030001133 is a deficient number, since it is larger than the sum of its proper divisors (223891600003).

1332030001133 is a wasteful number, since it uses less digits than its factorization.

1332030001133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147007024.

The product of its (nonzero) digits is 486, while the sum is 20.

Adding to 1332030001133 its reverse (3311000302331), we get a palindrome (4643030303464).

The spelling of 1332030001133 in words is "one trillion, three hundred thirty-two billion, thirty million, one thousand, one hundred thirty-three".

Divisors: 1 13 17 41 221 533 697 9061 147006953 1911090389 2499118201 6027285073 32488536613 78354705949 102463846241 1332030001133