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138512163141 = 32112127192069
BaseRepresentation
bin1000000011111111110…
…1111110000101000101
3111020112011001221021100
42000333331332011011
54232133103210031
6143344232210313
713002313650342
oct2007775760505
9436464057240
10138512163141
1153819561300
1222a17539999
13100a556b061
1469bdbb37c9
15390a2cade6
hex203ff7e145

138512163141 has 18 divisors (see below), whose sum is σ = 219915089030. Its totient is φ = 83946764880.

The previous prime is 138512163137. The next prime is 138512163143. The reversal of 138512163141 is 141361215831.

138512163141 is a `hidden beast` number, since 1 + 3 + 8 + 5 + 12 + 1 + 631 + 4 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 123238910916 + 15273252225 = 351054^2 + 123585^2 .

It is not a de Polignac number, because 138512163141 - 22 = 138512163137 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 138512163096 and 138512163105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138512163143) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 63594946 + ... + 63597123.

Almost surely, 2138512163141 is an apocalyptic number.

138512163141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

138512163141 is a deficient number, since it is larger than the sum of its proper divisors (81402925889).

138512163141 is a wasteful number, since it uses less digits than its factorization.

138512163141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127192097 (or 127192083 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

Adding to 138512163141 its reverse (141361215831), we get a palindrome (279873378972).

The spelling of 138512163141 in words is "one hundred thirty-eight billion, five hundred twelve million, one hundred sixty-three thousand, one hundred forty-one".

Divisors: 1 3 9 11 33 99 121 363 1089 127192069 381576207 1144728621 1399112759 4197338277 12592014831 15390240349 46170721047 138512163141