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3166406101 is a prime number
BaseRepresentation
bin1011110010111011…
…1000010111010101
322011200011002121001
42330232320113111
522441044443401
61242111023301
7141316002445
oct27456702725
98150132531
103166406101
111385398851
1274450ab31
133b6008aa1
14220762125
15137eb4601
hexbcbb85d5

3166406101 has 2 divisors, whose sum is σ = 3166406102. Its totient is φ = 3166406100.

The previous prime is 3166406081. The next prime is 3166406119. The reversal of 3166406101 is 1016046613.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1650471876 + 1515934225 = 40626^2 + 38935^2 .

It is a cyclic number.

It is not a de Polignac number, because 3166406101 - 29 = 3166405589 is a prime.

It is a super-2 number, since 2×31664061012 = 20052255192900044402, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3166406101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3166406161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1583203050 + 1583203051.

It is an arithmetic number, because the mean of its divisors is an integer number (1583203051).

Almost surely, 23166406101 is an apocalyptic number.

It is an amenable number.

3166406101 is a deficient number, since it is larger than the sum of its proper divisors (1).

3166406101 is an equidigital number, since it uses as much as digits as its factorization.

3166406101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 3166406101 is about 56270.8281527827. The cubic root of 3166406101 is about 1468.4377406834.

The spelling of 3166406101 in words is "three billion, one hundred sixty-six million, four hundred six thousand, one hundred one".