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31971228025 = 5211232512
BaseRepresentation
bin11101110001101000…
…100011100101111001
310001112010111122212111
4131301220203211321
51010434113244100
622404250212321
72211163645222
oct356150434571
9101463448774
1031971228025
1112616a19900
1262431240a1
1330268a7409
141794174249
15c71c066ba
hex771a23979

31971228025 has 27 divisors (see below), whose sum is σ = 43589399119. Its totient is φ = 23244650000.

The previous prime is 31971228019. The next prime is 31971228059. The reversal of 31971228025 is 52082217913.

The square root of 31971228025 is 178805.

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., 11509642089 + 20461585936 = 107283^2 + 143044^2 .

It is not a de Polignac number, because 31971228025 - 223 = 31962839417 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 9832650 + ... + 9835900.

Almost surely, 231971228025 is an apocalyptic number.

31971228025 is the 178805-th square number.

31971228025 is the 89403-rd centered octagonal number.

It is an amenable number.

31971228025 is a deficient number, since it is larger than the sum of its proper divisors (11618171094).

31971228025 is an frugal number, since it uses more digits than its factorization.

31971228025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6534 (or 3267 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 40.

The spelling of 31971228025 in words is "thirty-one billion, nine hundred seventy-one million, two hundred twenty-eight thousand, twenty-five".

Divisors: 1 5 11 25 55 121 275 605 3025 3251 16255 35761 81275 178805 393371 894025 1966855 9834275 10569001 52845005 116259011 264225025 581295055 1278849121 2906475275 6394245605 31971228025