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138303302841 = 32111397003059
BaseRepresentation
bin1000000011001110000…
…1001110110010111001
3111012222121001201210200
42000303201032302321
54231221121142331
6143311411432413
712664166451234
oct2006341166271
9435877051720
10138303302841
1153721677490
12229795b5709
1310071200b92
1469a016641b
1538e6cc15e6
hex203384ecb9

138303302841 has 12 divisors (see below), whose sum is σ = 217932477360. Its totient is φ = 83820183480.

The previous prime is 138303302701. The next prime is 138303302873. The reversal of 138303302841 is 148203303831.

138303302841 is a `hidden beast` number, since 1 + 3 + 8 + 303 + 302 + 8 + 41 = 666.

It is not a de Polignac number, because 138303302841 - 218 = 138303040697 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 138303302796 and 138303302805.

It is not an unprimeable number, because it can be changed into a prime (138303302941) 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 in 11 ways as a sum of consecutive naturals, for example, 698501431 + ... + 698501628.

It is an arithmetic number, because the mean of its divisors is an integer number (18161039780).

Almost surely, 2138303302841 is an apocalyptic number.

138303302841 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

138303302841 is a deficient number, since it is larger than the sum of its proper divisors (79629174519).

138303302841 is a wasteful number, since it uses less digits than its factorization.

138303302841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1397003076 (or 1397003073 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

It can be divided in two parts, 138303 and 302841, that added together give a palindrome (441144).

The spelling of 138303302841 in words is "one hundred thirty-eight billion, three hundred three million, three hundred two thousand, eight hundred forty-one".

Divisors: 1 3 9 11 33 99 1397003059 4191009177 12573027531 15367033649 46101100947 138303302841