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3131032221 = 321201289669
BaseRepresentation
bin1011101010011111…
…1100001010011101
322002012120220202100
42322213330022131
522403021012341
61234404515313
7140406222552
oct27247741235
98065526670
103131032221
111367427939
127346abb39
133ab8a1ab5
14219b94a29
15134d283b6
hexba9fc29d

3131032221 has 12 divisors (see below), whose sum is σ = 4526383420. Its totient is φ = 2085609600.

The previous prime is 3131032189. The next prime is 3131032231. The reversal of 3131032221 is 1222301313.

3131032221 is a `hidden beast` number, since 31 + 310 + 322 + 2 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1542132900 + 1588899321 = 39270^2 + 39861^2 .

It is not a de Polignac number, because 3131032221 - 25 = 3131032189 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 3131032194 and 3131032203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3131032231) 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 in 11 ways as a sum of consecutive naturals, for example, 134026 + ... + 155643.

Almost surely, 23131032221 is an apocalyptic number.

It is an amenable number.

3131032221 is a deficient number, since it is larger than the sum of its proper divisors (1395351199).

3131032221 is a wasteful number, since it uses less digits than its factorization.

3131032221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290876 (or 290873 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 3131032221 is about 55955.6272505277. The cubic root of 3131032221 is about 1462.9489749311.

Adding to 3131032221 its reverse (1222301313), we get a palindrome (4353333534).

It can be divided in two parts, 3131032 and 221, that added together give a triangular number (3131253 = T2502).

The spelling of 3131032221 in words is "three billion, one hundred thirty-one million, thirty-two thousand, two hundred twenty-one".

Divisors: 1 3 9 1201 3603 10809 289669 869007 2607021 347892469 1043677407 3131032221