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1000133929 is a prime number
BaseRepresentation
bin111011100111001…
…101010100101001
32120200221001211101
4323213031110221
54022013241204
6243124201401
733532666234
oct7347152451
92520831741
101000133929
11473605473
1223ab39261
1312c286132
1496b8441b
155cc0aea4
hex3b9cd529

1000133929 has 2 divisors, whose sum is σ = 1000133930. Its totient is φ = 1000133928.

The previous prime is 1000133921. The next prime is 1000133963. The reversal of 1000133929 is 9293310001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 820707904 + 179426025 = 28648^2 + 13395^2 .

It is a cyclic number.

It is not a de Polignac number, because 1000133929 - 23 = 1000133921 is a prime.

It is a super-4 number, since 4×10001339294 (a number of 37 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1000133897 and 1000133906.

It is not a weakly prime, because it can be changed into another prime (1000133921) 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 as a sum of consecutive naturals, namely, 500066964 + 500066965.

It is an arithmetic number, because the mean of its divisors is an integer number (500066965).

Almost surely, 21000133929 is an apocalyptic number.

It is an amenable number.

1000133929 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000133929 is an equidigital number, since it uses as much as digits as its factorization.

1000133929 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1458, while the sum is 28.

The square root of 1000133929 is about 31624.8941342102. The cubic root of 1000133929 is about 1000.0446410072.

The spelling of 1000133929 in words is "one billion, one hundred thirty-three thousand, nine hundred twenty-nine".