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101331010302209 is a prime number
BaseRepresentation
bin10111000010100011110110…
…110111111011000100000001
3111021210011001100000112222022
4113002203312313323010001
5101240201402114132314
6555302453512451225
730225631620062162
oct2702436667730401
9437704040015868
10101331010302209
112a3182706923a6
12b4467663a9b15
13447061ca0b91c
141b04638a75769
15baacbad8778e
hex5c28f6dfb101

101331010302209 has 2 divisors, whose sum is σ = 101331010302210. Its totient is φ = 101331010302208.

The previous prime is 101331010302173. The next prime is 101331010302349. The reversal of 101331010302209 is 902203010133101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 82797770051584 + 18533240250625 = 9099328^2 + 4305025^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-101331010302209 is a prime.

It is not a weakly prime, because it can be changed into another prime (101331010305209) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50665505151104 + 50665505151105.

It is an arithmetic number, because the mean of its divisors is an integer number (50665505151105).

Almost surely, 2101331010302209 is an apocalyptic number.

It is an amenable number.

101331010302209 is a deficient number, since it is larger than the sum of its proper divisors (1).

101331010302209 is an equidigital number, since it uses as much as digits as its factorization.

101331010302209 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 972, while the sum is 26.

The spelling of 101331010302209 in words is "one hundred one trillion, three hundred thirty-one billion, ten million, three hundred two thousand, two hundred nine".