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1006013229 = 31321984247
BaseRepresentation
bin111011111101101…
…000101100101101
32121002222202201020
4323331220230231
54030014410404
6243454204353
733633654114
oct7375505455
92532882636
101006013229
114769606a1
12240ab36b9
13130564200
1497874c7b
155d4bced9
hex3bf68b2d

1006013229 has 12 divisors (see below), whose sum is σ = 1452469536. Its totient is φ = 619084752.

The previous prime is 1006013221. The next prime is 1006013243. The reversal of 1006013229 is 9223106001.

It is not a de Polignac number, because 1006013229 - 23 = 1006013221 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1006013199 and 1006013208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006013221) 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, 991617 + ... + 992630.

It is an arithmetic number, because the mean of its divisors is an integer number (121039128).

Almost surely, 21006013229 is an apocalyptic number.

It is an amenable number.

1006013229 is a deficient number, since it is larger than the sum of its proper divisors (446456307).

1006013229 is a wasteful number, since it uses less digits than its factorization.

1006013229 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1984276 (or 1984263 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 1006013229 is about 31717.7115977808. The cubic root of 1006013229 is about 1002.0004053767. Note that the first 3 decimals are identical.

The spelling of 1006013229 in words is "one billion, six million, thirteen thousand, two hundred twenty-nine".

Divisors: 1 3 13 39 169 507 1984247 5952741 25795211 77385633 335337743 1006013229