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138573573431 is a prime number
BaseRepresentation
bin1000000100001110100…
…0001110110100110111
3111020200102121220100112
42001003220032310313
54232244313322211
6143354304333235
713003660640156
oct2010350166467
9436612556315
10138573573431
1153850195807
1222a3401421b
13100b51bcbc7
1469c7ddb59d
1539108ab88b
hex2043a0ed37

138573573431 has 2 divisors, whose sum is σ = 138573573432. Its totient is φ = 138573573430.

The previous prime is 138573573409. The next prime is 138573573469. The reversal of 138573573431 is 134375375831.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 138573573431 - 214 = 138573557047 is a prime.

It is a super-3 number, since 3×1385735734313 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 138573573431.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (138573573491) 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, 69286786715 + 69286786716.

It is an arithmetic number, because the mean of its divisors is an integer number (69286786716).

Almost surely, 2138573573431 is an apocalyptic number.

138573573431 is a deficient number, since it is larger than the sum of its proper divisors (1).

138573573431 is an equidigital number, since it uses as much as digits as its factorization.

138573573431 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3175200, while the sum is 50.

The spelling of 138573573431 in words is "one hundred thirty-eight billion, five hundred seventy-three million, five hundred seventy-three thousand, four hundred thirty-one".