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138207728231 is a prime number
BaseRepresentation
bin1000000010110111010…
…0101001001001100111
3111012201221020001002022
42000231310221021213
54231022134300411
6143254115133355
712661626210116
oct2005564511147
9435657201068
10138207728231
1153682728901
12229515a425b
1310057479761
1469915a7c7d
1538dd6e2edb
hex202dd29267

138207728231 has 2 divisors, whose sum is σ = 138207728232. Its totient is φ = 138207728230.

The previous prime is 138207728179. The next prime is 138207728279. The reversal of 138207728231 is 132827702831.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-138207728231 is a prime.

It is a super-2 number, since 2×1382077282312 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (138207725231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 69103864115 + 69103864116.

It is an arithmetic number, because the mean of its divisors is an integer number (69103864116).

Almost surely, 2138207728231 is an apocalyptic number.

138207728231 is a deficient number, since it is larger than the sum of its proper divisors (1).

138207728231 is an equidigital number, since it uses as much as digits as its factorization.

138207728231 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 225792, while the sum is 44.

The spelling of 138207728231 in words is "one hundred thirty-eight billion, two hundred seven million, seven hundred twenty-eight thousand, two hundred thirty-one".