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3136112001 = 3211216972
BaseRepresentation
bin1011101011101101…
…0100010110000001
322002120010222220100
42322323110112001
522410321041001
61235105433013
7140500340451
oct27273242601
98076128810
103136112001
11136a287400
1273633b769
133ac95cc99
1421a717d61
151354cd586
hexbaed4581

3136112001 has 27 divisors (see below), whose sum is σ = 4982125603. Its totient is φ = 1899553920.

The previous prime is 3136111987. The next prime is 3136112003. The reversal of 3136112001 is 1002116313.

The square root of 3136112001 is 56001.

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

3136112001 is a `hidden beast` number, since 31 + 3 + 611 + 20 + 0 + 1 = 666.

3136112001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 3018953025 + 117158976 = 54945^2 + 10824^2 .

It is not a de Polignac number, because 3136112001 - 25 = 3136111969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3136112003) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1847185 + ... + 1848881.

Almost surely, 23136112001 is an apocalyptic number.

3136112001 is the 56001-st square number.

3136112001 is the 28001-st centered octagonal number.

It is an amenable number.

3136112001 is a deficient number, since it is larger than the sum of its proper divisors (1846013602).

3136112001 is an equidigital number, since it uses as much as digits as its factorization.

3136112001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3422 (or 1711 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The cubic root of 3136112001 is about 1463.7397092226.

Adding to 3136112001 its reverse (1002116313), we get a palindrome (4138228314).

The spelling of 3136112001 in words is "three billion, one hundred thirty-six million, one hundred twelve thousand, one".

Divisors: 1 3 9 11 33 99 121 363 1089 1697 5091 15273 18667 56001 168003 205337 616011 1848033 2879809 8639427 25918281 31677899 95033697 285101091 348456889 1045370667 3136112001