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101664153301 is a prime number
BaseRepresentation
bin101111010101110100…
…1111101111011010101
3100201102011001002102011
41132223221331323111
53131202010401201
6114412011344221
710226222021254
oct1365351757325
9321364032364
10101664153301
113a12a845107
1217853152071
139782517a39
144cc609479b
1529a03ac151
hex17aba7ded5

101664153301 has 2 divisors, whose sum is σ = 101664153302. Its totient is φ = 101664153300.

The previous prime is 101664153289. The next prime is 101664153313. The reversal of 101664153301 is 103351466101.

It is a balanced prime because it is at equal distance from previous prime (101664153289) and next prime (101664153313).

It can be written as a sum of positive squares in only one way, i.e., 95796440100 + 5867713201 = 309510^2 + 76601^2 .

It is a cyclic number.

It is not a de Polignac number, because 101664153301 - 225 = 101630598869 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101664153361) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50832076650 + 50832076651.

It is an arithmetic number, because the mean of its divisors is an integer number (50832076651).

Almost surely, 2101664153301 is an apocalyptic number.

It is an amenable number.

101664153301 is a deficient number, since it is larger than the sum of its proper divisors (1).

101664153301 is an equidigital number, since it uses as much as digits as its factorization.

101664153301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6480, while the sum is 31.

The spelling of 101664153301 in words is "one hundred one billion, six hundred sixty-four million, one hundred fifty-three thousand, three hundred one".