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3164175001 = 13243272
BaseRepresentation
bin1011110010011001…
…0111101010011001
322011111221202002201
42330212113222121
522440012100001
61241551130201
7141261021001
oct27446275231
98144852081
103164175001
111384104569
12743813961
133b5707400
14220341001
15137bc3501
hexbc997a99

3164175001 has 9 divisors (see below), whose sum is σ = 3427088031. Its totient is φ = 2920101912.

The previous prime is 3164174983. The next prime is 3164175029. The reversal of 3164175001 is 1005714613.

The square root of 3164175001 is 56251.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 468073225 + 2696101776 = 21635^2 + 51924^2 .

It is not a de Polignac number, because 3164175001 - 211 = 3164172953 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3164175401) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 729100 + ... + 733426.

It is an arithmetic number, because the mean of its divisors is an integer number (380787559).

Almost surely, 23164175001 is an apocalyptic number.

3164175001 is the 56251-st square number.

3164175001 is the 28126-th centered octagonal number.

It is an amenable number.

3164175001 is a deficient number, since it is larger than the sum of its proper divisors (262913030).

3164175001 is an frugal number, since it uses more digits than its factorization.

3164175001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8680 (or 4340 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

The cubic root of 3164175001 is about 1468.0927647985.

Adding to 3164175001 its reverse (1005714613), we get a palindrome (4169889614).

The spelling of 3164175001 in words is "three billion, one hundred sixty-four million, one hundred seventy-five thousand, one".

Divisors: 1 13 169 4327 56251 731263 18722929 243398077 3164175001