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132044242213 = 1321345758061
BaseRepresentation
bin111101011111001110…
…0110011110100100101
3110121211101112111202101
41322332130303310211
54130411311222323
6140354342212101
712353115353122
oct1727634636445
9417741474671
10132044242213
1150aaa594604
1221711424031
13c5b456c600
146568b9d749
15367c564dad
hex1ebe733d25

132044242213 has 12 divisors (see below), whose sum is σ = 142995906468. Its totient is φ = 121875836160.

The previous prime is 132044242163. The next prime is 132044242217. The reversal of 132044242213 is 312242440231.

It can be written as a sum of positive squares in 6 ways, for example, as 3319718689 + 128724523524 = 57617^2 + 358782^2 .

It is a de Polignac number, because none of the positive numbers 2k-132044242213 is a prime.

It is a super-2 number, since 2×1320442422132 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132044242217) 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 11 ways as a sum of consecutive naturals, for example, 2245203 + ... + 2303263.

It is an arithmetic number, because the mean of its divisors is an integer number (11916325539).

Almost surely, 2132044242213 is an apocalyptic number.

132044242213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

132044242213 is a deficient number, since it is larger than the sum of its proper divisors (10951664255).

132044242213 is a wasteful number, since it uses less digits than its factorization.

132044242213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71544 (or 71531 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 132044242213 its reverse (312242440231), we get a palindrome (444286682444).

The spelling of 132044242213 in words is "one hundred thirty-two billion, forty-four million, two hundred forty-two thousand, two hundred thirteen".

Divisors: 1 13 169 13457 58061 174941 754793 2274233 9812309 781326877 10157249401 132044242213