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10132132993 is a prime number
BaseRepresentation
bin10010110111110110…
…00001010010000001
3222011010101200111221
421123323001102001
5131222311223433
64353222435041
7506040465223
oct113373012201
928133350457
1010132132993
11432a363534
121b69292a81
13c561a1a88
146c191a413
153e47ad72d
hex25bec1481

10132132993 has 2 divisors, whose sum is σ = 10132132994. Its totient is φ = 10132132992.

The previous prime is 10132132987. The next prime is 10132133009. The reversal of 10132132993 is 39923123101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9568165489 + 563967504 = 97817^2 + 23748^2 .

It is an emirp because it is prime and its reverse (39923123101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10132132993 - 25 = 10132132961 is a prime.

It is not a weakly prime, because it can be changed into another prime (10132132943) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5066066496 + 5066066497.

It is an arithmetic number, because the mean of its divisors is an integer number (5066066497).

Almost surely, 210132132993 is an apocalyptic number.

It is an amenable number.

10132132993 is a deficient number, since it is larger than the sum of its proper divisors (1).

10132132993 is an equidigital number, since it uses as much as digits as its factorization.

10132132993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8748, while the sum is 34.

The spelling of 10132132993 in words is "ten billion, one hundred thirty-two million, one hundred thirty-two thousand, nine hundred ninety-three".