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1006116122 = 21147973033
BaseRepresentation
bin111011111110000…
…001110100011010
32121010011222212002
4323332001310122
54030031203442
6243500321002
733634563104
oct7376016432
92533158762
101006116122
11476a20a30
12240b43162
1313059bcab
14978a0574
155d4dd732
hex3bf81d1a

1006116122 has 16 divisors (see below), whose sum is σ = 1681402752. Its totient is φ = 447594720.

The previous prime is 1006116121. The next prime is 1006116143. The reversal of 1006116122 is 2216116001.

It is a junction number, because it is equal to n+sod(n) for n = 1006116094 and 1006116103.

It is not an unprimeable number, because it can be changed into a prime (1006116121) 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 7 ways as a sum of consecutive naturals, for example, 485483 + ... + 487550.

It is an arithmetic number, because the mean of its divisors is an integer number (105087672).

Almost surely, 21006116122 is an apocalyptic number.

1006116122 is a deficient number, since it is larger than the sum of its proper divisors (675286630).

1006116122 is a wasteful number, since it uses less digits than its factorization.

1006116122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 973093.

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 1006116122 is about 31719.3335680307. Note that the first 3 decimals coincide. The cubic root of 1006116122 is about 1002.0345650710.

The spelling of 1006116122 in words is "one billion, six million, one hundred sixteen thousand, one hundred twenty-two".

Divisors: 1 2 11 22 47 94 517 1034 973033 1946066 10703363 21406726 45732551 91465102 503058061 1006116122