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1032132023405 = 5726169062029
BaseRepresentation
bin11110000010011111101…
…11001101010001101101
310122200010001111100010222
433001033313031101231
5113402301244222110
62110053243141125
7134366123305400
oct17011767152155
93580101440128
101032132023405
113687a768a73a
1214804ab147a5
1376439281742
1437d53ab5d37
151bcac630c55
hexf04fdcd46d

1032132023405 has 24 divisors (see below), whose sum is σ = 1464391284120. Its totient is φ = 696145242240.

The previous prime is 1032132023347. The next prime is 1032132023407. The reversal of 1032132023405 is 5043202312301.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 158854856356 + 873277167049 = 398566^2 + 934493^2 .

It is not a de Polignac number, because 1032132023405 - 216 = 1032131957869 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1032132023407) 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, 34516070 + ... + 34545959.

It is an arithmetic number, because the mean of its divisors is an integer number (61016303505).

Almost surely, 21032132023405 is an apocalyptic number.

It is an amenable number.

1032132023405 is a deficient number, since it is larger than the sum of its proper divisors (432259260715).

1032132023405 is an equidigital number, since it uses as much as digits as its factorization.

1032132023405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69062109 (or 69062102 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

Adding to 1032132023405 its reverse (5043202312301), we get a palindrome (6075334335706).

The spelling of 1032132023405 in words is "one trillion, thirty-two billion, one hundred thirty-two million, twenty-three thousand, four hundred five".

Divisors: 1 5 7 35 49 61 245 305 427 2135 2989 14945 69062029 345310145 483434203 2417171015 3384039421 4212783769 16920197105 21063918845 29489486383 147447431915 206426404681 1032132023405