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137022335657 is a prime number
BaseRepresentation
bin111111110011100101…
…0101110101010101001
3111002200022200212011122
41333213022232222221
54221110204220112
6142540332105025
712620353431104
oct1774712565251
9432608625148
10137022335657
1153124599919
1222680605175
13cbc89cb02c
1468bbd9b73b
15386e5e0872
hex1fe72aeaa9

137022335657 has 2 divisors, whose sum is σ = 137022335658. Its totient is φ = 137022335656.

The previous prime is 137022335651. The next prime is 137022335669. The reversal of 137022335657 is 756533220731.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 136149192256 + 873143401 = 368984^2 + 29549^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-137022335657 is a prime.

It is not a weakly prime, because it can be changed into another prime (137022335651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68511167828 + 68511167829.

It is an arithmetic number, because the mean of its divisors is an integer number (68511167829).

Almost surely, 2137022335657 is an apocalyptic number.

It is an amenable number.

137022335657 is a deficient number, since it is larger than the sum of its proper divisors (1).

137022335657 is an equidigital number, since it uses as much as digits as its factorization.

137022335657 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 793800, while the sum is 44.

The spelling of 137022335657 in words is "one hundred thirty-seven billion, twenty-two million, three hundred thirty-five thousand, six hundred fifty-seven".