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138114209041 is a prime number
BaseRepresentation
bin1000000010100000111…
…1111001010100010001
3111012111102020202212121
42000220033321110101
54230324214142131
6143240534454241
712656412256324
oct2005017712421
9435442222777
10138114209041
1153634963516
1222926204381
1310040c94a63
146982dc27bb
1538d53bd911
hex20283f9511

138114209041 has 2 divisors, whose sum is σ = 138114209042. Its totient is φ = 138114209040.

The previous prime is 138114209027. The next prime is 138114209047. The reversal of 138114209041 is 140902411831.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 104250848641 + 33863360400 = 322879^2 + 184020^2 .

It is a cyclic number.

It is not a de Polignac number, because 138114209041 - 221 = 138112111889 is a prime.

It is a super-2 number, since 2×1381142090412 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 138114208988 and 138114209006.

It is not a weakly prime, because it can be changed into another prime (138114209047) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 69057104520 + 69057104521.

It is an arithmetic number, because the mean of its divisors is an integer number (69057104521).

Almost surely, 2138114209041 is an apocalyptic number.

It is an amenable number.

138114209041 is a deficient number, since it is larger than the sum of its proper divisors (1).

138114209041 is an equidigital number, since it uses as much as digits as its factorization.

138114209041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6912, while the sum is 34.

The spelling of 138114209041 in words is "one hundred thirty-eight billion, one hundred fourteen million, two hundred nine thousand, forty-one".