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1066156101 = 34194101
BaseRepresentation
bin111111100011000…
…100000001000101
32202022011100020000
4333203010001011
54140413443401
6253443231513
735264114553
oct7743040105
92668140200
101066156101
114a78a994a
12259078599
1313cb611ca
14a184cbd3
15638ed186
hex3f8c4045

1066156101 has 50 divisors (see below), whose sum is σ = 1697777862. Its totient is φ = 666694800.

The previous prime is 1066156067. The next prime is 1066156111. The reversal of 1066156101 is 1016516601.

It can be written as a sum of positive squares in only one way, i.e., 1055600100 + 10556001 = 32490^2 + 3249^2 .

It is not a de Polignac number, because 1066156101 - 27 = 1066155973 is a prime.

It is a super-2 number, since 2×10661561012 = 2273377663399044402, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1066156111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 10555951 + ... + 10556051.

Almost surely, 21066156101 is an apocalyptic number.

It is an amenable number.

1066156101 is a deficient number, since it is larger than the sum of its proper divisors (631621761).

1066156101 is an frugal number, since it uses more digits than its factorization.

1066156101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 1066156101 is about 32652.0458930218. The cubic root of 1066156101 is about 1021.5828624715.

The spelling of 1066156101 in words is "one billion, sixty-six million, one hundred fifty-six thousand, one hundred one".

Divisors: 1 3 9 19 27 57 81 101 171 303 361 513 909 1083 1539 1919 2727 3249 5757 6859 8181 9747 17271 20577 29241 36461 51813 61731 109383 130321 155439 185193 328149 390963 555579 692759 984447 1172889 2078277 2953341 3518667 6234831 10556001 13162421 18704493 39487263 56113479 118461789 355385367 1066156101