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138337526141 is a prime number
BaseRepresentation
bin1000000011010110001…
…1110010000101111101
3111020001222110110100022
42000311203302011331
54231303401314031
6143315033141525
712665063366513
oct2006543620575
9436058413308
10138337526141
1153739a21a01
1222988b5a8a5
1310078324259
1469a49144b3
1538e9cd197b
hex20358f217d

138337526141 has 2 divisors, whose sum is σ = 138337526142. Its totient is φ = 138337526140.

The previous prime is 138337526083. The next prime is 138337526221. The reversal of 138337526141 is 141625733831.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 136076143225 + 2261382916 = 368885^2 + 47554^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-138337526141 is a prime.

It is a super-2 number, since 2×1383375261412 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 138337526092 and 138337526101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (138337526941) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 69168763070 + 69168763071.

It is an arithmetic number, because the mean of its divisors is an integer number (69168763071).

Almost surely, 2138337526141 is an apocalyptic number.

It is an amenable number.

138337526141 is a deficient number, since it is larger than the sum of its proper divisors (1).

138337526141 is an equidigital number, since it uses as much as digits as its factorization.

138337526141 is an evil number, because the sum of its binary digits is even.

The product of its digits is 362880, while the sum is 44.

The spelling of 138337526141 in words is "one hundred thirty-eight billion, three hundred thirty-seven million, five hundred twenty-six thousand, one hundred forty-one".