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100332131327 is a prime number
BaseRepresentation
bin101110101110001000…
…0101101001111111111
3100120222022121100202222
41131130100231033333
53120440011200302
6114031505435555
710151216021261
oct1353420551777
9316868540688
10100332131327
11396069662aa
121754103bbbb
1395cc57a65c
144bdb1d9b31
152923493da2
hex175c42d3ff

100332131327 has 2 divisors, whose sum is σ = 100332131328. Its totient is φ = 100332131326.

The previous prime is 100332131279. The next prime is 100332131477. The reversal of 100332131327 is 723131233001.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 100332131327 - 214 = 100332114943 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100332131296 and 100332131305.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100332136327) 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 as a sum of consecutive naturals, namely, 50166065663 + 50166065664.

It is an arithmetic number, because the mean of its divisors is an integer number (50166065664).

Almost surely, 2100332131327 is an apocalyptic number.

100332131327 is a deficient number, since it is larger than the sum of its proper divisors (1).

100332131327 is an equidigital number, since it uses as much as digits as its factorization.

100332131327 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2268, while the sum is 26.

Adding to 100332131327 its reverse (723131233001), we get a palindrome (823463364328).

The spelling of 100332131327 in words is "one hundred billion, three hundred thirty-two million, one hundred thirty-one thousand, three hundred twenty-seven".