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6120540029 is a prime number
BaseRepresentation
bin1011011001101000…
…00000011101111101
3120210112212122111202
411230310000131331
5100013324240104
62451200225245
7304446506012
oct55464003575
916715778452
106120540029
11266098134a
12122990b225
13767051726
14420c29709
1525c4e851e
hex16cd0077d

6120540029 has 2 divisors, whose sum is σ = 6120540030. Its totient is φ = 6120540028.

The previous prime is 6120539993. The next prime is 6120540061. The reversal of 6120540029 is 9200450216.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 4095360025 + 2025180004 = 63995^2 + 45002^2 .

It is a cyclic number.

It is not a de Polignac number, because 6120540029 - 220 = 6119491453 is a prime.

It is a super-3 number, since 3×61205400293 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 6120539983 and 6120540010.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3120540029) 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, 3060270014 + 3060270015.

It is an arithmetic number, because the mean of its divisors is an integer number (3060270015).

Almost surely, 26120540029 is an apocalyptic number.

It is an amenable number.

6120540029 is a deficient number, since it is larger than the sum of its proper divisors (1).

6120540029 is an equidigital number, since it uses as much as digits as its factorization.

6120540029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 6120540029 is about 78233.8803140941. The cubic root of 6120540029 is about 1829.2086547331.

The spelling of 6120540029 in words is "six billion, one hundred twenty million, five hundred forty thousand, twenty-nine".