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32322112121 = 13173534091013
BaseRepresentation
bin11110000110100011…
…000100101001111001
310002102120202102100202
4132012203010221321
51012143430041441
622503143011545
72222654264015
oct360643045171
9102376672322
1032322112121
1112786a98262
126320739bb5
1330814acb40
1417c89d1545
15c9291719b
hex7868c4a79

32322112121 has 32 divisors (see below), whose sum is σ = 37087333920. Its totient is φ = 27905163264.

The previous prime is 32322112099. The next prime is 32322112127. The reversal of 32322112121 is 12121122323.

It can be written as a sum of positive squares in 16 ways, for example, as 10731924025 + 21590188096 = 103595^2 + 146936^2 .

It is not a de Polignac number, because 32322112121 - 26 = 32322112057 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 32322112093 and 32322112102.

It is not an unprimeable number, because it can be changed into a prime (32322112127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31906811 + ... + 31907823.

It is an arithmetic number, because the mean of its divisors is an integer number (1158979185).

Almost surely, 232322112121 is an apocalyptic number.

It is an amenable number.

32322112121 is a deficient number, since it is larger than the sum of its proper divisors (4765221799).

32322112121 is a wasteful number, since it uses less digits than its factorization.

32322112121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1805.

The product of its digits is 288, while the sum is 20.

Adding to 32322112121 its reverse (12121122323), we get a palindrome (44443234444).

The spelling of 32322112121 in words is "thirty-two billion, three hundred twenty-two million, one hundred twelve thousand, one hundred twenty-one".

Divisors: 1 13 17 221 353 409 1013 4589 5317 6001 6953 13169 17221 78013 90389 144377 223873 357589 414317 1876901 2454409 4648657 5386121 6079013 7043389 31907317 79027169 91564057 146253901 1901300713 2486316317 32322112121